Home
Class 12
MATHS
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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINTE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL-II)|20 Videos

  • INDEFINTE INTEGRAL

    FIITJEE|Exercise COMPREHENSIONS -I|1 Videos

  • INDEFINTE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE LEVEL-II)|4 Videos

  • HYPERBOLA

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

Similar Questions

Explore conceptually related problems

intsin(tan^-1x)/(1+x^2)dx

int(1-2x)/(1+x-x^(2))dx

intsin^-1x/(1-x^2)^(3/2)dx

intsin^(-1)(3x-4x^(3))dx=?

If intsin^(-1)(sqrt(x)/sqrt(x+1))dx=A(x)tan^(-1)sqrt(x)+B(x)+C then A(x) and B(x) will be

intsin^(5) x dx

Evaluate: int_(1)^(2)(1)/((x+1)(x+2))dx( ii) int_(1)^(2)(1)/(x(1+x^(2)))dx

int_(-1)^(1)(x^(2)+x)/(x^(2)+1)dx=

int(x-1)/(1-2x+x^(2))dx=

"int(2x+1)/((x+1)(x+2)^(2))dx