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

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

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2)[3sin^(-1)x-xsqrt(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

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

int (x^(2)dx)/(sqrt(1-x^(6)))

int(sin^(-1)x)/(sqrt(1-x^(2)))dx is equal to

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

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

Evaluate: int(x^(3/2))/(sqrt(1+x^5))dx

Evaluate: int(x^(5/2))/(sqrt(1+x^7))dx

int(sqrt(1-x^(2))-x)/(sqrt(1-x^(2))(1+xsqrt(1-x^(2))))dx is

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

Evaluate int(log_(e)(x+sqrt(x^(2)+1)))/(sqrt(x^(2)+1))dx.