Home
Class 12
MATHS
Evaluate: int1/(3+sin2x)\ dx...

Evaluate: `int1/(3+sin2x)\ dx`

Text Solution

Verified by Experts

Given,
I= `int1/(3+sin2x) dx`
I=`int1/(3(cos^2x+sin^2x)+2sinxcosx) dx`
`I=int (sec^2xdx)/(3tan^2x+2tanx+3)`
let `tanx=t`
`sec^2xdx=dt`
`I= int (dt)/(3t^2+2t+3)`
...
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: int1/(1+3sin^2x)\ dx

Evaluate: int(1)/(3+sin2x)dx

int1/(3+2 sin x)dx

Evaluate: int1/(3+2x-x^2)\ dx

int(1)/(1+sin2x)dx

Evaluate int(1)/(3-2sin^(2)x)dx

Evaluate : int 1/(3+2 sin x + cos x) dx.

Evaluate: int(1)/(sin x+sin2x)dx

Evaluate: int(1)/(sin x-sin2x)dx

Evaluate: int sqrt(1-sin2x)dx