Question

Indefinite integrals: Use integration formulas, algebra, and educated guess-and-check strategies to find the following integrals.

$\int 3sec{h}^{2}xdx$

Short answer

The solution is:$3\tan h\left(x\right)+C$

Step-by-step solution

Given

The given integral is:$\int 3sec{h}^{2}xdx$

To Find 

Use integration formulas, algebra, and educated guess-and-check strategies to find the given integral.

Calculation 

We take the constant out of the integral. Then we get a familiar integral expression:

$$\begin{gathered} \int 3sec{h}^{2}xdx \\ =3\int sec{h}^{2}xdx \\ =3\tan h\left(x\right)+C \end{gathered}$$

Where, C = integrating constant.