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

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

A

`sin^(-1)x-1/x^(2)+c`

B

`sin^(-1)x+logx+c`

C

`logx+sqrt(1-x^(2))+c`

D

`logx*sqrt(1-x^(2))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos
  • INTEGRATION

    TARGET PUBLICATION|Exercise CRITICAL THINKING|179 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos
  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

Similar Questions

Explore conceptually related problems

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

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

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

int(dx)/(xsqrt(1-x^(3)))dx=

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

int xsqrt(1-x-x^(2)dx)

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

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

"int((1)/(sqrt(1-x^(2)))+(2)/(sqrt(1+x^(2))))dx,|x|<1

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