Home
Class 12
MATHS
Evaluate: int(cosx)/(sqrt(4-sin^2x))\ dx...

Evaluate: `int(cosx)/(sqrt(4-sin^2x))\ dx`

Text Solution

Verified by Experts

I= `int(cosx)/(sqrt(4-sin^2x))\ dx`
let `sinx=t`
`cosxdx=dt`
`I=int (dt)/(sqrt(2^2-t^2))`
`I=sin^(-1)(t/2)+c`
`I=sin^(-1)((sinx)/2)+c`
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(cos x)/(sqrt(4+sin^(2)x))dx

Evaluate: int(sinx-cosx)/(sqrt(sin2x))\ dx

Evaluate: int(cosx-sinx)/(sqrt(8-sin2x))\ dx

Evaluate int cosx/(sqrt(25-sin^2x)) dx

int(cosx)/(sqrt(9sin^(2)x-1))dx

Evaluate: int(sinx+cosx)/(sqrt(1+sin2x))\ dx

Evaluate: int cos x sqrt(4-sin^(2)x)dx

int(cosx)/(sqrt(cos2x))dx=

int(cosx)/(sqrt(sin^2x-sinx-3))dx=

int(cosx)/(sqrt(sin^2x-2sinx+5))dx=