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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

- 2 cot (x) + C

Solution steps

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

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} ( x )} d x

Use the common integral:

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

= 2 (- cot (x))

Simplify

= - 2 cot (x)

Add a constant to the solution

= - 2 cot (x) + C

5 x^{4} - x - \frac{2}{x}

\frac{S}{S ^{2} + 2 S - 3}

sin (x), \frac{π}{3}

x \to 64 lim (x^{\frac{3}{2}})

x \to 0 lim (\frac{2 x ^{2} - 3 x}{x})

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