(a) \(\frac { 1 }{ 3 } { e }^{ { x }^{ 3 } }+c\) 1 - Inductive and Deductive Reasoning, Ch. Solution: Solution: Ex 7.5 Class 12 Maths Question 11. \(\frac { 1 }{ \sqrt { 7-6x-{ x }^{ 2 } } } \) Chapter 1 is an intn;>duction to Fourier series: why they are important and why they met with so much resistance. Updated NCERT Solutions for Class 12 Maths for 2019 Exams. \(\int _{ -1 }^{ 1 }{ { (x+1 }) } dx\quad \) (a) 10x – x10 + C Ex 7.6 Class 12 Maths Question 10. \(\int { \sqrt { x } \left( { 3x }^{ 2 }+2x+3 \right) dx } \) cos 3x (c) tan(ex)+c Solution: 7 - Absolute Value & Reciprocal Functions, Ch. Solution: ∫(1-x)√x dx Solution: Ex 7.8 Class 12 Maths Question 4. Solution: \(\int _{ 2 }^{ 3 }{ \frac { dx }{ { x }^{ 2 }-1 } } \) Solution: Solution: \(\frac { 1 }{ { e }^{ x }-1 } \) NCERT Solutions for Class 12 Maths Chapter 7 – Integrals contains step-by-step and detailed solutions for every question. Solution: ∫(4e3x + 1) dx Solution: ∫cos 3x dx Solution: put 2x-3 = t \(\frac { cosx }{ \sqrt { 1+sinx } } \) 6 - Rational Expressions and Equations, Ch. Alec Schimmel Pre-Calculus A Review 5.3-5.5 X 1.) Solution: Ex 7.6 Class 12 Maths Question 18. Solution: Ex 7.1 Class 12 Maths Question 2. \(\int _{ 0 }^{ \frac { \pi }{ 4 } }{ sin2x\quad dx } \) Ex 7.2 Class 12 Maths Question 27. \({ e }^{ 2x }sinx\) (d) \(\frac { \pi }{ 4 }\) (b) \({ e }^{ x }secx+c\) Ex 7.1 Class 12 Maths Question 22. \(\frac { 1-{ x }^{ 2 } }{ x(1-2x) } \) Solution: Miscellaneous Exercise Class 11 Maths Question 39: We have new books nearly every day. ∫sinx4 dx \(\int _{ 0 }^{ 1 }{ \frac { 2x+3 }{ { 5x }^{ 2 }+1 } dx } \) (d) tanx+secx+c \(\frac { 1 }{ \sqrt { 9-{ 25x }^{ 2 } } } \) Solution: Miscellaneous Exercise Class 11 Maths Question 8: Ex 7.10 Class 12 Maths Question 7: (c) \(\frac { \pi }{ 6 } \) Solution: Miscellaneous Exercise Class 11 Maths Question 14: Ex 7.3 Class 12 Maths Question 12. हल- Solution: \({ e }^{ 2x+3 }\) Ex 7.1 Class 12 Maths Question 4. put 5x-2=A\(\frac { d }{ dx }\)(1+2x+3x²)+B \(\frac { { x }^{ 3 }sin({ tan }^{ -1 }{ x }^{ 4 }) }{ 1+{ x }^{ 8 } } dx \) Solution: Miscellaneous Exercise Class 11 Maths Question 32: Solution: \(\sqrt { 1-4x-{ x }^{ 2 } } \) Choose the correct answer in the Exercises 10 to 11: Ex 7.7 Class 12 Maths Question 10. Solution: Solution: Miscellaneous Exercise Class 11 Maths Question 44: Ex 7.2 Class 12 Maths Question 35. \(\frac { 1 }{ { x }^{ 2 }-9 } \) Solution: x logx Solution: Ex 7.1 Class 12 Maths Question 12. Solution: Miscellaneous Exercise Class 11 Maths Question 24: Solution: Ex 7.4 Class 12 Maths Question 11. x sinx Ex 7.5 Class 12 Maths Question 13. If \(\frac { d }{ dx } f(x)={ 4x }^{ 3 }-\frac { 3 }{ { x }^{ 4 } } \) such that f(2)=0 then f(x) is Ex 7.4 Class 12 Maths Question 25. Solution: Solution: ∫(2x² – 3sinx + 5√x)dx Ex 7.5 Class 12 Maths Question 18. \(\frac { 2x }{ 1+{ x }^{ 2 } } \) \(\sqrt { { x }^{ 2 }+4x-5 } \) Solution: Solution: Miscellaneous Exercise Class 11 Maths Question 23: Ex 7.6 Class 12 Maths Question 24. \(\int { \sqrt { { x }^{ 2 }-8x+7 } } dx\quad is\quad equal\quad to\) \(\frac { 1 }{ 1+cotx }\) NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12. \(\frac { x+3 }{ { x }^{ 2 }-2x-5 } \) Ex 7.1 Class 12 Maths Question 8. tan²(2x-3) (b) \(log|x|+\frac { 1 }{ 2 } log({ x }^{ 2 }+1)+c \) Solution: Ex 7.6 Class 12 Maths Question 14. 9 - Lineaer & Quadratic Inequalities, Ch. Solution: Ex 7.3 Class 12 Maths Question 16. \(\frac { cosx-sinx }{ 1+sin2x }\) Solution: Miscellaneous Exercise Class 11 Maths Question 22: हल- (d) log|(x-1)(x-2)|+c Class 12 Maths Integrals NCERT Solutions for CBSE Board, UP Board, MP Board, Bihar, Uttarakhand board ⦠Ex 7.6 Class 12 Maths Question 19. x sec²x Ex 7.10 Class 12 Maths Question 6: हम जानते हैं कि, \(\frac { d }{ dx }\) sin 3x = 3 cos 3x. Solution: (a) tanx+cotx+c Calculus Solutions (849) Basic Calculus (51) Equations (12) Inequalities (16) Logarithms (5) Polynomial Long Division (3) Powers and Roots (15) Integrals (99) Definite Integral (30) Fundamental Theorem of Calculus (6) Improper Integral (28) Indefinite Integral (31) Riemann Sum (4) Multivariable Functions (133) Calculating Multivariable Limit (4) Ex 7.3 Class 12 Maths Question 1. Ex 7.6 Class 12 Maths Question 15. Ex 7.5 Class 12 Maths Question 21. \(\int { (2x-3cosx+{ e }^{ x })dx } \) Ex 7.2 Class 12 Maths Question 20. (b) \(\frac { 1 }{ 3 } +{ e }^{ { x }^{ 2 } }+c\) Ex 7.4 Class 12 Maths Question 12. Solution: \(\frac { 3x-1 }{ (x-1)(x-2)(x-3) }\) Solution: \(\sqrt { 1+3x-{ x }^{ 2 } } \) \(\int _{ 1 }^{ 4 }{ ({ x }^{ 2 }-x) } dx\) \(\frac { 1 }{ { 9x }^{ 2 }+6x+5 } \) \(\int { \left( { 2x }^{ 2 }-3sinx+5\sqrt { x } \right) dx } \) Ex 7.5 Class 12 Maths Question 12. 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Solution: Solution: Ex 7.5 Class 12 Maths Question 2. (b) \({ x }^{ 3 }+\frac { 1 }{ { x }^{ 4 } } +\frac { 129 }{ 8 } \) \({ (sin }^{ -1 }{ x })^{ 2 }\) Ex 7.10 Class 12 Maths Question 16: Solution: Miscellaneous Exercise Class 11 Maths Question 28: \(\frac { x }{ \sqrt { x+4 } } ,x>0\) Ex 7.7 Class 12 Maths Question 8. Solution: Miscellaneous Exercise Class 11 Maths Question 3: Solution: Ex 7.10 Class 12 Maths Question 18: Ex 7.6 Class 12 Maths Question 5. Ex 7.10 Class 12 Maths Question 9: Solution: Solution: { x }^{ 5 }\) Ex 7.5 Class 12 Maths Question 15. \(\int _{ a }^{ b }{ x\quad dx } \) Wharton School of Business. \(\int _{ 2 }^{ 3 }{ { x }^{ 2 } } dx\) [Filename: Alg1CD9-12.pdf] - Read File Online - Report Abuse Quiz 3 CHAPTER For use after Lessons 1.6 u20131.7 Input Output Quiz 3 For use after Lessons 1.6 u20131.7 Answers 1. ∫(1-x)√x dx Ex 7.2 Class 12 Maths Question 8. Ex 7.3 Class 12 Maths Question 14. Ex 7.6 Class 12 Maths Question 9. \(\frac { { sin }^{ 3 }x+{ cos }^{ 3 }x }{ { sin }^{ 2 }x{ cos }^{ 2 }x } \) The topic of the book is ways in which humans are irrational, and does this through 48 short chapter each detailing a specific way we all delude ourselves. Solution: Solution: \((4x+2)\sqrt { { x }^{ 2 }+x+1 } \) \(\int _{ 0 }^{ 1 }{ \frac { dx }{ 1+{ x }^{ 2 } } } \) \(\frac { { e }^{ 2x }-{ e }^{ 2x } }{ { e }^{ 2x }+{ e }^{ -2x } } \) \(\int _{ 2 }^{ 3 }{ \frac { x }{ { x }^{ 2 }+1 } } dx\) Solution: Ex 7.3 Class 12 Maths Question 18. Solution: Solution: NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.11, Ex 7.10, Ex 7.9, Ex 7.8, Ex 7.7, Ex 7.6, Ex 7.5, Ex 7.4, Ex 7.3, Ex 7.2, Ex 7.1 for 2019-20 Sessionsolved by expert Teachers at LearnCBSE.in as per NCERT (CBSE) Guidelines to Score good marks in the board Exams. Solution: Solution: \(\int { \frac { dx }{ { x }^{ 2 }+2x+2 } equals } \) Solution: ∫secx (sec x + tan x) dx Ex 7.2 Class 12 Maths Question 13. Ex 7.6 Class 12 Maths Question 6. Solution: Miscellaneous Exercise Class 11 Maths Question 37: Solution: Integrate the functions in Exercises 1 to 37: Ex 7.2 Class 12 Maths Question 1. Ex 7.4 Class 12 Maths Question 7. \(\int { { (ax }^{ 2 }+bx+c)dx } \) Ex 7.10 Class 12 Maths Question 4: Solution: Ex 7.10 Class 12 Maths Question 1: Solution: Miscellaneous Exercise Class 11 Maths Question 42: Solution: Ex 7.2 Class 12 Maths Question 37. sin 2x Ex 7.1 Class 12 Maths Question 17. \(\frac { x-1 }{ \sqrt { { x }^{ 2 }-1 } } \) 5 - Trigonometric Functions and Graphs, Ch. Ex 7.3 Class 12 Maths Question 2. Solution: Miscellaneous Exercise Class 11 Maths Question 33: Solution: Ex 7.4 Class 12 Maths Question 21. Solution: Solution: \(\frac { { (x-2)e }^{ x } }{ { (x-1) }^{ 3 } } \) Solution: This chapter presupposes familiarity with partial differential equations, but it is purely motivational and can be given as much or as little emphasis as one wishes. \(\int _{ \frac { \pi }{ 6 } }^{ \frac { \pi }{ 4 } }{ cosec\quad xdx } \) Write the expression as a single logarithm 8 29 29 1 1 ln 1 2ln 1 ln 2 3 x x x from MATH PreCalculu at Pennridge Hs \(\frac { (x+1){ (x+logx) }^{ 2 } }{ x } \) Solution: Ex 7.6 Class 12 Maths Question 11. Solution: Miscellaneous Exercise Class 11 Maths Question 18: \(\sqrt { { x }^{ 2 }+4x+1 } \) Solution: = ∫(sec² x + sec x tan x) dx \(\frac { 2 }{ (1-x)(1+{ x }^{ 2 }) } \) \(\frac { sinx }{ { (1+cosx) }^{ 2 } } \) \(x\sqrt { 1+{ 2x }^{ 2 } } \) \(\int _{ 0 }^{ 1 }{ { xe }^{ { x }^{ 2 } }dx } \) Solution: Solution: Solution: Solution: Ex 7.8 Class 12 Maths Question 5. \(x\sqrt { x+2 } \) \(\int _{ 1 }^{ \sqrt { 3 } }{ \frac { dx }{ { 1+x }^{ 2 } } \quad equals } \) Ex 7.2 Class 12 Maths Question 21. \(\frac { 1-cosx }{ 1+cosx }\) sin 4x sin 8x e2x \(\frac { \left( { x }^{ 2 }+1 \right) \left( { x }^{ 2 }+2 \right) }{ \left( { x }^{ 2 }+3 \right) \left( { x }^{ 2 }+4 \right) } \) 2 - Properties of Angles and Triangles, Ch. \(\frac { x+2 }{ \sqrt { { x }^{ 2 }-1 } } \) Solution: Ex 7.9 Class 12 Maths Question 2. Solution: Ex 7.7 Class 12 Maths Question 3. हल- Solution: (a) -cot(e.xx)+c Solution: Miscellaneous Exercise Class 11 Maths Question 30: Miscellaneous Exercise Class 11 Maths Question 31: \(\sqrt { 1-{ 4x }^{ 2 } } \) Solution: Ex 7.1 Class 11 Maths प्रश्न 3. Solution: Ex 7.9 Class 12 Maths Question 13. Solution: Ex 7.9 Class 12 Maths Question 16. Solution: \(\frac { { \left( logx \right) }^{ 2 } }{ x } \) (d) \(\frac { { x }^{ 2 } }{ 2 } \sqrt { 1+{ x }^{ 2 } } +\frac { 1 }{ 2 } { x }^{ 2 }log\left| x+\sqrt { 1+{ x }^{ 2 } } \right| +c\) (a) xtan-1(x+1)+c ∫(ax + b)² dx Ex 7.4 Class 12 Maths Question 24. (c) \(log\left| \left( \frac { x-{ 1 }^{ 2 } }{ x-2 } \right) \right| +c\) \(\frac { 4x+1 }{ \sqrt { { 2x }^{ 2 }+x-3 } } \) Ex 7.2 Class 12 Maths Question 29. Solution: Ex 7.9 Class 12 Maths Question 18. Ex 7.10 Class 12 Maths Question 15: Solution: Ex 7.2 Class 12 Maths Question 38. Ex 7.4 Class 12 Maths Question 15. \(\frac { x }{ { \left( x-1 \right) }^{ 2 }\left( x+2 \right) } \) Solution: Ex 7.3 Class 12 Maths Question 13. Ex 7.4 Class 12 Maths Question 22. Ex 7.1 Class 12 Maths Question 14. Ex 7.2 Class 12 Maths Question 16. \(\frac { x+2 }{ \sqrt { { x }^{ 2 }+2x+3 } } \) \(\sqrt { ax+b } \) Ex 7.1 Class 12 Maths Question 11. Solution: Integral the function in exercises 1 to 9. = \(\frac { 1 }{ 2 }tan(2x-3)-x+c\) Solution: \(\int { \frac { { x }^{ 3 }+{ 5x }^{ 2 }-4 }{ { x }^{ 2 } } dx } \) Solution: Miscellaneous Exercise Class 11 Maths Question 6: Ex 7.1 Class 12 Maths Question 13. We have new books nearly every day. Ex 7.2 Class 12 Maths Question 4. Ex 7.1 Class 12 Maths Question 10. Ex 7.10 Class 12 Maths Question 17: Solution: (c) \({ e }^{ x }sinx+c\) \(\frac { { 3x }^{ 2 } }{ { x }^{ 6 }+1 } \) Solution: \(\int { \frac { { sec }^{ 2 }x }{ { cosec }^{ 2 }x } dx } \) ∫(ax² + bx + c) dx Solution: Solution: Ex 7.3 Class 12 Maths Question 11. Solution: vMiscellaneous Exercise Class 11 Maths Question 4: Solution: \(\frac { 1 }{ { cos }^{ 2 }x{ (1-tanx) }^{ 2 } } \) ∫√x(3x² + 2x + 3)dx Solution: \(\frac { { sin }^{ -1 }x }{ \sqrt { 1-{ x }^{ 2 } } } \) (b) \(\frac { 2 }{ 3 } { x }^{ \frac { 2 }{ 3 } }+{ \frac { 1 }{ 2 } x }^{ 2 }+c\) ∫(ax² + bx + c) dx = a∫x²dx + b∫xdx + c∫1 dx, Ex 7.1 Class 11 Maths प्रश्न 9. Ex 7.6 Class 12 Maths Question 13. (c) -tanx+cotx+c हल- Solution: हल- Solution: ∫(2x² – 3sinx + 5√x)dx Solution: \(\sqrt { 1+\frac { { x }^{ 2 } }{ 9 } } \) (c) \(\frac { 2 }{ 3 } x{ \left( 1+{ x }^{ 2 } \right) }^{ \frac { 3 }{ 2 } }+c\) cotx log sinx Solution: Miscellaneous Exercise Class 11 Maths Question 21: Solution: (d) \(\frac { 1 }{ 2 } { e }^{ { x }^{ 2 } }+c\) ∫(sin 2x -4e3x) dx = ∫sin 2x dx – 4∫e3x …(1), Ex 7.1 Class 11 Maths प्रश्न 6. Ex 7.3 Class 12 Maths Question 9. 4 - Symmetry, Surface Area, Scale, and Similarity, Ch. \({ e }^{ x }(sinx+cosx)\) ∫(2x – 3cosx + ex)dx, प्रश्न 17. Ex 7.5 Class 12 Maths Question 9. \(\int { \sqrt { 1+{ x }^{ 2 } } } dx\quad is\quad equal\quad to\) Solution: Solution: Ex 7.7 Class 12 Maths Question 2. \(\frac { 1 }{ x({ x }^{ 4 }-1) } \) \({ { (x }^{ 3 }-1) }^{ \frac { 1 }{ 3 } }. Ex 7.1 Class 12 Maths Question 15. Ex 7.2 Class 12 Maths Question 10. (d) cot ex+c Solution: Miscellaneous Exercise Class 11 Maths Question 9: \(\int { \frac { 1 }{ cos(x-a)cos(x-b) } dx } \) ∫(2x² + ex) dx \(\int { \frac { { sin }^{ 2 }x-{ cos }^{ 2 }x }{ { sin }^{ 2 }x{ cos }^{ 2 }x } } dx\quad is\quad equal\quad to\) \(\frac { 6x+7 }{ \sqrt { (x-5)(x-4) } } \) Solution: Move to Top → Class 12 Integrals Chapter 7. Ex 7.2 Class 12 Maths Question 36. \(\frac { { e }^{ x }(1+sinx) }{ 1+cosx } \) Solution: \(\sqrt { { x }^{ 2 }+3x } \) \(\int _{ 2 }^{ 3 }{ \frac { 1 }{ x } dx } \) Ex 7.2 Class 12 Maths Question 24. \(\frac { { e }^{ 2x }-1 }{ { e }^{ 2x }+1 } \) View Test Prep - Review 5.3-5.5_PRE CALC from MATH calculus at Hoffman Estates High School. Ex 7.4 Class 12 Maths Question 19. Solution: Solution: \(\frac { x }{ (x+1)(x+2) }\) Solution: Ex 7.9 Class 12 Maths Question 17. Ex 7.7 Class 12 Maths Question 9. Ex 7.4 Class 12 Maths Question 6. Solution: \(\frac { cosx }{ (1-sinx)(2-sinx) } \) \(\int { \frac { { x }^{ 3 }-{ x }^{ 2 }+x-1 }{ x-1 } dx } \) Ex 7.2 Class 12 Maths Question 11. (b) 10x + x10 + C \(\frac { cosx }{ 1+cosx }\) Solution:
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