What is the integral of 1/(1-cos^2(y)) ?

The integral of 1/(1-cos^2(y)) is -cot(y)+C

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integral of 1/(1-cos^2(y))

\int \frac{1}{1 - cos ^{2} ( y )} d y

- cot (y) + C

Solution steps

\int \frac{1}{1 - cos ^{2} ( y )} d y

Rewrite using trig identities

= \int csc^{2} (y) d y

Use the common integral:

\int csc^{2} (y) d y = - cot (y)

= - cot (y)

Add a constant to the solution

= - cot (y) + C

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What is the integral of 1/(1-cos^2(y)) ?
The integral of 1/(1-cos^2(y)) is -cot(y)+C