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

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

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

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

tan (x) + C

Solution steps

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

Simplify

tan^{2} (x) csc^{2} (x) : sec^{2} (x)

= \int sec^{2} (x) d x

Use the common integral:

\int sec^{2} (x) d x = tan (x)

= tan (x)

Add a constant to the solution

= tan (x) + C

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