Home
Class 12
MATHS
int(x^(2) sin^(-1)x)/((1-x^(2))^((5)/(2)...

`int(x^(2) sin^(-1)x)/((1-x^(2))^((5)/(2)))dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(3)[((x)/(sqrt(1-x^(2))))^(3)sin^(-1)x-(1)/(2)(x^(2))/(1-x^(2))-(1)/(2)log|1-x^(2)|]+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Multiple Correct Answers Type|5 Videos

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Short Answer Type Question|39 Videos

  • INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample questions for Competitive Exams ( D Comprehension Type)|4 Videos

Similar Questions

Explore conceptually related problems

Integrate : int (sin^(-1)x)/((1-x^(2))^((1)/(2)))dx

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

int (x^(2)+sin^(2)x)/(1+x^(2))sec^(2)x dx

int ((x^(2) + 1)dx)/(x(x^(2)-1))

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

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

int ((x^(2)-1)dx)/(x^(4)+x^(2)+1)

int(e^(x)(1+x^(2)))/((1+x)^(2))dx

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