Find the integral.

{eq}\int \sin^8(5x) \cos^3(5x) \, \mathrm{d}x {/eq}

Question:

Find the integral.

{eq}\int \sin^8(5x) \cos^3(5x) \, \mathrm{d}x {/eq}

Integration by Substitution:

The substitution method is used not only in the calculus to integrate but in the differentiation also. This method is used to convert the unfamiliar integral into the standard form. The substitution method is the reverse of the chain method. This technique is used to simplify the larger integral into the simplest form.

Answer and Explanation: 1

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Given Data

  • The given integral is {eq}\int\limits_{}^{} {{{\sin }^8}\left( {5x} \right){{\cos }^3}} \left( {5x} \right)dx {/eq}.


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U Substitution: Examples & Concept

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Chapter 12 / Lesson 13
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In this lesson, learn the technique of integration by u-substitution, its step-by-step method, and see different examples.


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