Home
Class 12
MATHS
Antiderivative of int sin^2x/(1+ sin^2x...

Antiderivative of `int sin^2x/(1+ sin^2x)` w.r.t. `x` is

A

`x-sqrt2/2arctan(sqrt2tanx)+c`

B

`x+1/sqrt2arctan(tanx/sqrt2)+c`

C

`x-sqrt2arctan(sqrt2tanx)+c`

D

`x-sqrt2arctan(tanx/sqrt2)+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 1 (SECTION - F SOME STANDARD SUBSTITUTIONS)|2 Videos

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 1 (SECTION - G MIXED PROBLEMS)|9 Videos

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 1 (SECTION - D INTEGRATION BY PARTIAL FRACCTION)|4 Videos

  • HYPERBOLA

    MOTION|Exercise EXERCISE-4 (Level-II)|17 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

Similar Questions

Explore conceptually related problems

Antiderivative of int(sin^(2)x)/(1+sin^(2)x) w.r.t.x is

Derivative of (sin^(-1))/(1+sin^(-1)x)w.r.t.sin^(-1)x is

Differentiation of sin(x^2) w.r.t. x is

Differentiate sin2x sin 4x w.r.t. x.

Find the derivative of (sin x)^(x)+sin^(-1)sqrt(x) w.r.t.x

Find the derivative of y=x^(1/x)+(sin x)^(1/x) w.r.t. x

Define derivative of sin^(-1)((2x)/(1+x^2)) w.r.t. cos^(-1)((1-x^2)/(1+x^2)) AA\ x in Rdot

MOTION-INDEFINITE INTEGRATION-EXERCISE - 1 (SECTION - E MISCELLANEOUS SUBSTITUTION)
  1. Antiderivative of int sin^2x/(1+ sin^2x) w.r.t. x is

    Text Solution

    |