Find the indefinite integral.

{eq}\displaystyle \int x^4 \ln(x) \, \mathrm{d}x {/eq}


Find the indefinite integral.

{eq}\displaystyle \int x^4 \ln(x) \, \mathrm{d}x {/eq}

Integration by Parts:

Integration by parts is a method of integration that is primarily used to integrate product of functions.

If we need to integrate product of two functions, then we may use integration by parts, which is given by the following formula:

{eq}\displaystyle \int u \ \mathrm{d}v = uv - \displaystyle \int v \ \mathrm{d}u {/eq}

Answer and Explanation: 1

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Consider the following substitutions:

{eq}u = \ln x {/eq}

{eq}\mathrm{d}v = x^4 \ \mathrm{d}x {/eq}


{eq}\mathrm{d}u = \displaystyle...

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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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