What is the integral of-4csc^2(x) ?

The integral of-4csc^2(x) is 4cot(x)+C

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integral of-4csc^2(x)

\int - 4 csc^{2} (x) d x

4 cot (x) + C

Solution steps

\int - 4 csc^{2} (x) d x

Take the constant out:

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

= - 4 \cdot \int csc^{2} (x) d x

Use the common integral:

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

= - 4 (- cot (x))

Simplify

= 4 cot (x)

Add a constant to the solution

= 4 cot (x) + C

n = 1 \sum \infty \frac{n}{3 n ^{2} + 1}

\frac{\partial}{\partial x} (ln (x + y) + x \cdot cos (y))

\frac{d}{d x} (ln (x e^{- 9 x}))

\frac{\partial}{\partial x} (\frac{c - b}{a - x})