What is the integral of (tan(2x)cot(2x))^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of (tan(2x)cot(2x))^2

\int (tan (2 x) cot (2 x))^{2} d x

x + C

Solution steps

\int (tan (2 x) cot (2 x))^{2} d x

Rewrite using trig identities

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

\int x^{3} 3^{x^{4}} d x

\int cos (4 x) x d x

\int \frac{4}{( x ^{3} + 4 x )} d x

\int \frac{2 x}{9 + x ^{2}} d x

\int \frac{x - 2}{( x ^{2} + 2 x + 2 ) ^{2}} d x

What is the integral of (tan(2x)cot(2x))^2 ?
The integral of (tan(2x)cot(2x))^2 is x+C