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

The integral of tan^2(x)+c is -x+tan(x)+cx+C

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integral of tan^2(x)+c

\int tan^{2} (x) + c d x

- x + tan (x) + c x + C

Solution steps

\int tan^{2} (x) + c d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

\int c d x = c x

= - x + tan (x) + c x

Add a constant to the solution

= - x + tan (x) + c x + C

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What is the integral of tan^2(x)+c ?
The integral of tan^2(x)+c is -x+tan(x)+cx+C