What is the integral of (-5csc^2(x)) ?

The integral of (-5csc^2(x)) is 5cot(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (-5csc^2(x))

\int (- 5 csc^{2} (x)) d x

5 cot (x) + C

Solution steps

\int - 5 csc^{2} (x) d x

Take the constant out:

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

= - 5 \cdot \int csc^{2} (x) d x

Use the common integral:

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

= - 5 (- cot (x))

Simplify

= 5 cot (x)

Add a constant to the solution

= 5 cot (x) + C

x cos (2 x), 1

x \to + 1 lim (e^{4 x^{3} - 4 x})

\frac{d}{d x} (\frac{3 x ^{4} - x}{x})

\int 30 sin^{3} (x) cos^{2} (x) d x

\int 5 x \cdot e^{10 x} d x

What is the integral of (-5csc^2(x)) ?
The integral of (-5csc^2(x)) is 5cot(x)+C