Compute the definite integral {eq}\int_{0}^{\frac{\pi}{2}} 3x\cos(x) dx.{/eq}


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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Calculating 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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Using Integration By Parts


Chapter 13 / Lesson 7

Learn 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.

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