Find the indefinite integral.

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


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}

Answer and Explanation: 1

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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}


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Learn more about this topic:

How to Solve Integrals Using Substitution


Chapter 13 / Lesson 5

Explore the steps in integration by substitution. Learn the importance of integration with the chain rule and see the u-substitution formula with various examples.

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