What is the integral of (csc(x))^2 ?

The integral of (csc(x))^2 is -cot(x)+C

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integral of (csc(x))^2

\int (csc (x))^{2} d x

- cot (x) + C

Solution steps

\int (csc (x))^{2} d x

Simplify

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

Use the common integral:

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

= - cot (x)

Add a constant to the solution

= - cot (x) + C

\int \frac{- 10 x ^{2}}{4 x - x ^{2}} d x

\frac{d}{d x} (\frac{x ^{3}}{19})

\frac{d}{d x} (\frac{6}{x ^{- 3}})

y^{^{''}} = - 3 y - 2 y^{^{'}}

\frac{5}{e ^{x}}