Home
Class 12
MATHS
int(x^(n-1))/(x^(2n)+a^(2))dx is equal t...

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

A

`1/(na)"tan"^(-1)(x^(n)/(a))+C`

B

`n/(a)"tan"^(-1)(x^(n)/(a))+C`

C

`n/(a)"sin"^(-1)(x^(n)/(a))+C`

D

`n/(a)"cos"^(-1)(x^(n)/(a))+C`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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

int((x^(4)-x)^(1//4))/(x^(5))dx is equal to

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

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

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

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

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

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