The value of the integral underset(0)ove...

The value of the integral `underset(0)overset(1)int(dx)/(x^(2)+2xcosalpha+1)`, where `0 lt alpha lt (pi)/(2)`, is equal to :

A

`sin alpha`

B

`tan^(-1) (sin alpha)`

C

`alpha sin alpha`

D

`alpha/2 (sin alpha)^(-1)`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

The value of the integral int_(0)^(1)(dx)/(x^(2)+2xcosalpha+1) , where 0 lt alpha lt (pi)/(2) , is equal to :

The value of the integral int_(0)^(1)(dx)/(x^(2)+2x cos alpha +1),0ltalpha lt pi is

The value of the integral overset(pi)underset(0)int log(1+cos x)dx is

If z=1+i tan alpha where pi lt alpha lt(3pi)/(2), then what is |z| equal to ?

Evaluate the following definite integrals underset(0)overset(1)int(dx)/(sqrt(1-x^(2)))

The value of the integral int_(0)^(pi)(1)/(a^(2)-2a cos x+1)dx (a gt1) , is

Evaluate the following definite integrals underset(0)overset(pi//4)int(dx)/(1+cos2x)