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

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

A

`1/3sqrt(1+x^(2))(2+x^(2))+C`

B

`1/3sqrt(1+x^(2))(x^(2)-1)+C`

C

`1/3(1+x^(2))^(3//2)+C`

D

`1/3sqrt(1+x^(2))(x^(2)-2)+C`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

int(x^(5))/(sqrt(1+x^(3)))dx is equal to

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

int_(-1)^(1//2)(e^(x)(2-x^(2))dx)/((1-x)sqrt(1-x^(2))) is equal to a) (sqrt(e))/(2)(sqrt(3)+1) b) (sqrt(3e))/(2) c) sqrt(3e) d) sqrt(e/3)

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

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

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

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