Home
Class 12
MATHS
I= int "In" ( sqrt( 1-x) + sqrt(1+x) )dx...

`I= int "In" ( sqrt( 1-x) + sqrt(1+x) )dx`.

Text Solution

Verified by Experts

The correct Answer is:
`= x"In" ( sqrt( 1-x) + sqrt( 1+x) ) - (1)/(2) x + (1)/(2) "arc" sin x + C`.
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS, BASIC METHODS OF INTEGRATION

    IA MARON|Exercise 4.4. Reduction Formulas|2 Videos
  • INDEFINITE INTEGRALS, BASIC METHODS OF INTEGRATION

    IA MARON|Exercise 4.2. Integration by Substitution|22 Videos
  • IMPROPER INTEGRALS

    IA MARON|Exercise 8.4 ADDITIONAL PROBLEMS|1 Videos
  • INTRODUCTION OF MATHEMATICAL ANALYSIS

    IA MARON|Exercise Additional Problems|34 Videos

Similar Questions

Explore conceptually related problems

int ln(sqrt(1+x)+sqrt(1-x))dx

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

int sqrt(x)+sqrt(x+1)dx

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

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

int(sqrt(x)+(1)/(sqrt(x)))dx

int(sqrt(x)+(1)/(sqrt(x)))dx

I= int 1/(x+sqrt(x-1)) dx

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

int(1)/(sqrt(x+1)+sqrt(x))dx