Home
Class 12
MATHS
Find (i) int cos^(2)x,dx (ii) int sin (2...

Find (i) `int cos^(2)x,dx (ii) int sin (2x)cos (3x)dx`,
(iii) `int sin^(3)x dx.`

Text Solution

Verified by Experts

The correct Answer is:
`(x)/(2)+(1)/(4) sin (2x)+c`
(ii) `-(1)/(10)cos (5x)+(1)/(2)cosx+c`
(iii) `-(3)/(4) cos x+(1)/(12) cos(3x)+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Short Answer Type Questions)|33 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Long Answer Type Questions)|13 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE-7|44 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the following integrals: (i) intsin^(3)xcos^(2)xdx (ii) int(sinx)/(sin(x+a))dx (iii) int1/(1+tanx)dx

int sin^(-1)(cos x)dx=....

Find the following integrals : (i) int (sinx+cosx)dx (ii) int "cosec" x ("cosec" x+cot x)dx (iii) int (1-sinx)/(cos^(2)x)dx

int (sinx)/(3+4 cos^(2)x)dx

int sin ( log x) dx =………+c

int sin ( log x) dx =………+c

int(3sinxcos^2x-sin^3x)dx

Evaluate the following integrals : (i) int x^(15)dx (ii) int x^(-3//2)dx (iii) int(3x^(-7)+x^(-1))dx

int (dx)/(sin^(2)x cos^(2)

Find the following integrals: (i) int(x^(3)-1)/(x^(2))dx (ii) int(x^(2/3)+1)dx (iii) int(x^(3/2)+2e^(x)-1/x)dx