# Find the indefinite integral. {eq}\int \pi \sin \pi x dx{/eq}

## Question:

Find the indefinite integral.

{eq}\int \pi \sin \pi x dx{/eq}

## Definite Integral in Calculus:

Integration techniques can be used to find anti-derivative of a function. The given integrand is a trigonometric sine function and we need to find out the indefinite integral.

To solve this problem, we'll use u-substitution. Next, use the common integral {eq}\displaystyle \int \sin(u) du = -\cos(u)+C {/eq}

Become a Study.com member to unlock this answer!

We are given: {eq}\displaystyle \int \pi \sin \pi x dx {/eq}

Apply u-substitution : {eq}u=\sin \pi x \rightarrow \ du = \pi \cos \pi x \ dx {/eq}

...