Home
Class 12
MATHS
int(0)^(2)(x^(3)dx)/((x^(2)+1)^(3//2))is...

`int_(0)^(2)(x^(3)dx)/((x^(2)+1)^(3//2))`is equal to

A

`(sqrt(2)_1)^(2)`

B

`((sqrt(2)-1)^(2))/(sqrt(2))`

C

`(sqrt(2)-1)/(sqrt(2))`

D

`(6-2sqrt(5))/(sqrt(5))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|148 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(2)(x^(3))/((x^(2)+1)^(3//2))dx is equal to

int(x^(3)dx)/(x^(2)+1)^(3) is equal to

int(x^(3))/((1+x^(2))^(1//3))dx is equal to

int_(0)^(3)(x^(2)+1)dx

int_(0)^(3)(x^(2)+1)dx

int_(0)^(1)(x^(2))/(3-x^3)dx

int_(0)^(1)(dx)/((2x-3))

int_(0)^(1)(dx)/(3x+2)

int(1)/((a^(2)+x^(2))^(3//2))dx is equal to

int_(0)^(1)(dx)/((x+sqrt(x^(2)+1))^(3))=