Solve ∫ frac{operatorname{sic}tansqrt{4}}{n+1}du

$$\int \frac { \operatorname { sic } \tan \sqrt { 4 } } { n + 1 } d u$$

Evaluate

$$\frac{\tan(2)icsu}{n+1}+С$$

Solution Steps

Find the integral of \frac{isc\sin(\sqrt{4})}{\cos(\sqrt{4})\left(n+1\right)} using the table of common integrals rule \int a\mathrm{d}u=au.

$$\frac{isc\sin(\sqrt{4})}{\cos(\sqrt{4})\left(n+1\right)}u$$

Simplify.

$$\frac{isc\sin(2)u}{\cos(2)\left(n+1\right)}$$

If F\left(u\right) is an antiderivative of f\left(u\right), then the set of all antiderivatives of f\left(u\right) is given by F\left(u\right)+C. Therefore, add the constant of integration C\in \mathrm{C} to the result.

$$\begin{matrix}\frac{isc\sin(2)u}{\cos(2)\left(n+1\right)}+С_{3},&\end{matrix}$$