What is the integral of 3/(sin^2(x)) ?

The integral of 3/(sin^2(x)) is -3cot(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3/(sin^2(x))

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

- 3 cot (x) + C

Solution steps

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

Take the constant out:

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

= 3 \cdot \int \frac{1}{sin ^{2} ( x )} d x

Use the common integral:

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

= 3 (- cot (x))

Simplify

= - 3 cot (x)

Add a constant to the solution

= - 3 cot (x) + C

\int t (1.2)^{t} d t

\int (x - 5) sin (π x) d x

\int x^{4} (x^{5} - 4)^{5} d x

\int e^{l n (s i n (x))} d x

\int \frac{1}{x \cdot ( x + 1 )} d x

What is the integral of 3/(sin^2(x)) ?
The integral of 3/(sin^2(x)) is -3cot(x)+C