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

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

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integral of tan(x)cot(x)

\int tan (x) cot (x) d x

x + C

Solution steps

\int tan (x) cot (x) d x

Express with sin, cos

= \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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