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

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

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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

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\int cos (4 x) x d x

\int \frac{x ^{3}}{( 3 - 2 x ) ^{5}} d x

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

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