If 0 lt a lt 1, then overset(1)underset(...

If `0 lt a lt 1`, then `overset(1)underset(-1)int (1)/(sqrt(1-2ax+a^(2)))dx` is equal to

A

`(pi)/(1-a^(2))`

B

`(pi)/(a^(2)-1)`

C

`(2pi)/(a^(2)-1)`

D

`(2pi)/(1-a^(2))`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

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

If 0 lt a lt 1 , then int_(-1)^(1) (1)/(sqrt(1-2ax+a^(2)))dx is equal to

If I=overset(1)underset(0)int (1)/(1+x^(pi//2))dx then

overset(pi)underset(0)int (1)/(1+3^(cosx)) dx is equal to

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

int(1)/((x-1)sqrt(x^(2)-1))dx equals

Lt_(x to 0)(a^(x)-1)/(sqrt(1+x)-1) is equal to

The integral underset(1)overset(5)int x^(2)dx is equal to

The value of the integral underset(0)overset(1)int cot^(-1) (1-x+x^(2))dx , is

If f(x)={{:(x,xlt1),(x-1,xge1):} , then underset(0)overset(2)intx^(2)f(x) dx is equal to :