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Step by step solution help me pls

Step by step solution help me pls-example-1

1 Answer

5 votes

Explanation:

Recall that


1 + \tan^2 x = \sec^2 x

and


(d)/(dx)(\tan x) = \sec^2 x

so that


\displaystyle \int \tan^2 x = \int (\sec^2 x - 1)dx


\:\:\:\:\:\:\:\:\:=\int \sec^2 xdx - \int dx


\:\:\:\:\:\:\:\:\:=\tan x - x + C

where C is the constant of integration.

User Marcin Augustyniak
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