Evaluate: `\int_{0}^1 x tan^(-1)x` dx

A

`(pi)/4+1/2`

B

`(pi)/4-1/2`

C

`1/2-(pi)/4`

D

`-(pi)/4-1/2`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Evaluate: \int_{0}^1log (1/x-1) dx

Evaluate: \int_{0}^1 sin^(-1) frac{2x}{1+x^2} dx

Evaluate: \int_{0}^(pi) (sin^(-1) x + cos^(-1) x)^ 3 sin^3 x dx

Evaluate: \int_{0}^(pi) frac{x tan x}{sec x + tan x} dx

Evaluate: int tan^2 x dx

Evaluate: \int_{0}^((pi)/2)sin 2x tan^(-1)(sin x) dx

Evaluate: \int_{0}^1 frac{x^2 - 2}{x^2+1} dx

Evaluate : int_(0)^(pi//4) tan ^(2) x dx

Evaluate: \int_{0}^(pi) sin x (1+ 2cos x)(1+cos x)^2 dx

Evaluate: \int_{0}^1 sqrt (frac{1-x}{1+x}) dx