Home
Class 12
MATHS
Evaluate the following integrals : int1/...

Evaluate the following integrals : `int1/(1+cos2x)dx`

Text Solution

Verified by Experts

We have given,
`int1/(1+cos2x)dx`
As we know that,
`1-cos 2 x=2 sin ^{2} x `
Then
` int frac{1}{1-cos 2 x} d x` `=int frac{1}{2 sin ^{2} x} cdot d x `
`=frac{1}{2} int cosec^{2} x d x`
...
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 the following integrals : int(1-cos2x)/(1+cos2x)dx

Evaluate the following integrals: int(cos2x)/(cosx)dx

Evaluate the following integrals: (i) int((1-cos2x)/(1+cos2x))dx (ii) int((1+cos2x)/(1-cos2x))dx

Evaluate the following integrals. int (dx)/(x cos^(2) (log x))

Evaluate the following integral: int_1^3(cos(logx))/x dx

Evaluate the following integrals: int(cos x)/(1-cos x)dx

Evaluate the following integrals: int (1)/(x cos alpha + 1)dx

Evaluate the following integrals: int_(-1/2)^(1/2) cos x log ((1+x)/(1-x))dx

Evaluate the following integrals: int (1-cos x)/(sin x) dx

Evaluate the following integrals: int(cos^(2)x-sin^(2)x)/(sqrt(1+cos4x))dx