Compute the definite integral {eq}\int_{0}^{\frac{\pi}{2}} 3x\cos(x) dx.{/eq}
Question:
Compute the definite integral {eq}\int_{0}^{\frac{\pi}{2}} 3x\cos(x) dx.{/eq}
Integral of a Polynomial by Cosine:
The integral of a polynomial by cosine will be calculated in parts, we will integrate by parts as many times as the degree of the polynomial.
That is to say if we integrate a polynomial of degree one by cosine, only with integrating once by parts we would solve the integral.
Answer and Explanation: 1
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View this answerCalculating the integral indefinitely:
{eq}\int {3x\cos \left( x \right)dx} {/eq}
Integrating by parts:
{eq}\begin{gathered} \int {3x\cos \left(...
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Chapter 13 / Lesson 7Learn how to use and define integration by parts. Discover the integration by parts rule and formula. Learn when and how to use integration by parts with examples.