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}
Answer and Explanation: 1
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View this answerWe 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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Chapter 13 / Lesson 5Explore the steps in integration by substitution. Learn the importance of integration with the chain rule and see the u-substitution formula with various examples.