Home
Class 11
MATHS
sin^(-1) ((2x)/(1 + x^(2)))...

`sin^(-1) ((2x)/(1 + x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
`= 2 [ tan ^(-1) x - log | sqrt(1 + x^(2))|] + c `
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS

    SURA PUBLICATION|Exercise Exercise 11.8|6 Videos

  • INTEGRAL CALCULUS

    SURA PUBLICATION|Exercise Exercise 11.9|6 Videos

  • INTEGRAL CALCULUS

    SURA PUBLICATION|Exercise Exercise 11.6|16 Videos

  • GOVT. MODEL QUESTION PAPER - 2 (2018 - 19)

    SURA PUBLICATION|Exercise SECTION - IV|13 Videos

  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - A|14 Videos

Similar Questions

Explore conceptually related problems

Sove 2 cos^(-1) x = sin^(-1) (2 x sqrt(1 - x^(2)))

Differentiate the following : y=sin^(-1)((1-x^(2))/(1+x^(2)))

Differentiate the following : y=sin^(-1)((1-x^(2))/(1+x^(2)))

find the derivative; y= sin^(-1) ((1-x^(2))/(1+x^(2)))

Find (dy)/(dx) in the following : y= sin^(-1) (2x sqrt(1-x^(2))), (1)/(sqrt(2)) lt x lt (1)/(sqrt(2)) .

Find (dy)/(dx) in the following : y= sin^(1)((1-x^(2))/(1+x^(2))), 0 lt x lt 1 .

If (x -1) (x^(2) + 1) gt 0 , then find the value of sin((1)/(2) tan^(-1).(2x)/(1 - x^(2)) - tan^(-1) x)

Find the value of x for which f(x) = 2 sin^(-1) sqrt(1 - x) + sin^(-1) (2 sqrt(x - x^(2))) is constant

Integrate with respect to x (sin^(-1)x) (e^(sin^(-1)x))/(sqrt(1 - x^2))