Home
Class 12
MATHS
Integrate the following functions w.r.t....

Integrate the following functions w.r.t. x:
(i) sinmx (ii) `2xsin(x^(2)+1)` (iii) `(tan^(4)sqrtxsec^(2)sqrtx)/(sqrtx)` (iv) `(sin(tan^(-1)x))/(1+x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
`-(1)/(m) cos (mx)+c, (ii) -cos(x^(2)+1)+c`
(iii) `(2)/(5)tan^(5)( sqrt(x))+c, (iv) -cos(tan^(-1)x)+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

Integrate the following functions : xsin2x

Integrate the following functions : x^(2)tan^(-1)x

Integrate the following functions : (sin^(-1)x)^(2)

Integrate the following functions : e^(x)((2+sin2x)/(1+cos2x))

Integrate the functions xsin^(-1)x

Integrate the functions tan^(-1)x

Integrate the functions 1/(x-sqrtx)

Integrate the following functions. int((1+sin2x)/(x+sin^(2)x))dx

Integrate the following functions : tan^(-1)((2x)/(1-x^(2)))