Calculus Examples

$\tan (θ)$

Write $\tan (θ)$ as a function.

$f (θ) = \tan (θ)$

The function $F (θ)$ can be found by finding the indefinite integral of the derivative $f (θ)$ .

$F (θ) = \int f (θ) d θ$

Set up the integral to solve.

$F (θ) = \int \tan (θ) d θ$

The integral of $\tan (θ)$ with respect to $θ$ is $\ln (| \sec (θ) |)$ .

$\ln (| \sec (θ) |) + C$

The answer is the antiderivative of the function $f (θ) = \tan (θ)$ .

$F (θ) =$ $\ln (| \sec (θ) |) + C$