Home
Class 12
MATHS
int (x^(3)+1)/(sqrt(1-x^(2)))dx=...

`int (x^(3)+1)/(sqrt(1-x^(2)))dx=`

A

`(1)/(3)[(1-x^(2))^(3//2)-3Sinh^(-1)x]+c`

B

`(1)/(3)[(1-x^(2))^(3//2)+3Sinh^(-1)x]+c`

C

`(1)/(3)[(1+x^(2))^(3//2)+3Sinh^(-1)x]+c`

D

`(1)/(3)[(1-x^(2))^(3//2)-3sqrt(1-x^(2)))-3Sin^(-1)x]+c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|109 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-1)|4 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|164 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

int(x^(3))/(sqrt(1+x^(2)))dx =

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

int (x^3)/(sqrt(1-x^(8)))dx=

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

Arrange the following according to their values in ascending order A) int_(0)^(1) sqrt(1-x^(2))dx B) int_(0)^(1) (1)/(sqrt(1-x^(2)))dx C) int_(0)^(1//sqrt(3))(1)/(1+x^(2))dx

Evaluate int_(0)^((1)/(sqrt(2)))(x^(3))/(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=