Home
Class 12
MATHS
Integrate : (a) int (sqrt(1-x^2) + sqr...

Integrate :
(a) `int (sqrt(1-x^2) + sqrt(1+x^2) )/( sqrt(1-x^4) `dx,

Text Solution

Verified by Experts

The correct Answer is:
(a) ` "In" (x+ sqrt( 1+ x^2) ) + "arc" sin x + C`;
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS, BASIC METHODS OF INTEGRATION

    IA MARON|Exercise 4.2. Integration by Substitution|22 Videos

  • INDEFINITE INTEGRALS, BASIC METHODS OF INTEGRATION

    IA MARON|Exercise 4.3. Integration by Parts|28 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

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

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

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

Integrate int(4x^3dx)/sqrt(1-x^8)

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

Integrate : int((x+sqrt(1+x^2))^(2009))/(sqrt(1+x^2))dx

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

int(e^x[1+sqrt(1-x^2)sin^-1x])/sqrt(1-x^2)dx

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

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