Home
Class 12
MATHS
int (x+Sin^(-1)x)/(sqrt(1-x^(2)))=dx...

`int (x+Sin^(-1)x)/(sqrt(1-x^(2)))=dx`

A

`- sqrt(1 - x^(2)) + (1)/(2) (sin^(-1) x)^(2) + C `

B

`sqrt(1 -x^(2)) + (1)/(2) ( sin^(-1) x)^(2) + C `

C

`sqrt(1 -x^(2)) + sin^(-1) x + C `

D

`sqrt( 1 -x^(2)) - (1)/(2) ( sin^(-1) x ) + C `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE -II|157 Videos
  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos
  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

int (Sin^(-1) x)/(sqrt(1-x^(2)))dx=

Find int(xsin^(-1)x)/(sqrt(1-x^(2)))dx

int (tan (sin^(-1)x))/(sqrt(1-x^(2)))dx=

int (x Sin^(-1)(x^(2)))/(sqrt(1-x^(4)))dx=

Evaluate the following integrals (vi) int_(0)^(1//2)(x sin^(-1)x)/(sqrt(1-x^(2)))dx

Show that int_(0)^(1//2)(x sin^(-1)x)/(sqrt(1-x^(2)))dx = (1)/(2)-(sqrt(3))/(12)pi

Find int x^(2)*("exp" ( m sin^(-1) x)/(sqrt(1-x^(2))) dx " on " (-1,1) where m is a real number . ( Here for Y in R , exp. {y} stands for e^(y)) .

Evaluate int(((sin^(-1)x)^2)/(sqrt(1-(x)^(2)))dx)