What is the integral of 2/(sin^2(s)) ?

The integral of 2/(sin^2(s)) is -2cot(s)+C

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integral of 2/(sin^2(s))

\int \frac{2}{sin ^{2} ( s )} d s

- 2 cot (s) + C

Solution steps

\int \frac{2}{sin ^{2} ( s )} d s

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int \frac{1}{sin ^{2} ( s )} d s

Use the common integral:

\int \frac{1}{sin ^{2} ( s )} d s = - cot (s)

= 2 (- cot (s))

Simplify

= - 2 cot (s)

Add a constant to the solution

= - 2 cot (s) + C

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What is the integral of 2/(sin^2(s)) ?
The integral of 2/(sin^2(s)) is -2cot(s)+C