intsin^(-1)((2x)/(1+x^(2)))dx=?...

`intsin^(-1)((2x)/(1+x^(2)))dx=?`

A

`2xtan^(-1)(x)-log_(e)(x^(2)+1)+c`

B

`2[tan^(-1)(x)-log_(e)(x^(2)+1)]+c`

C

`2xtan^(-1)(x)+log_(e)(x^(2)+1)+c`

D

none of these

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

intsin^-1{(1-x^2)/(1+x^2)}dx

Evaluate: (i) intcot^(-1)((sin2x)/(1-cos2x))\ dx (ii) intsin^(-1)((2tanx)/(1+tan^2x))\ dx

Differentiate sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)((2x)/(1-x^2)), if -1

intsin^2(x+1) dx

intsin^3(2x+1)dx

intsin^2(2x+5)dx

Evaluate: intsin^(-1)((2x+2)/(sqrt(4x^2+8x+13)))dx

intsin^(- 1)sqrt(x/(a+x))dx