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

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

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integral of-csc^2(x)

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

cot (x) + C

Solution steps

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

Take the constant out:

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

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

Use the common integral:

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

= - (- cot (x))

Simplify

= cot (x)

Add a constant to the solution

= cot (x) + C

\frac{d y}{d t} = y

y = 2 x - 1

7 + 2 e^{x} - 4 x^{4} x - y = 9

\frac{\partial}{\partial x} (x^{2 x})

t \to 1 lim (\frac{t ^{3} - 1}{t - 1})