# Integrals

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Please and explain and solve the following:

13. Find the indefinite integral and check the result by differentiation.

Integral: x^2(x^3 - 1)^4 dx

Answer: (x^3 - 1)^5/15 + C

130. Find the indefinite integral in two ways. Explain any difference in the forms of the answers.

Integral: sin x cos x dx

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#### Solution Preview

Please refer to the attached file. Cheers.

13.

We can make a substitution and let u = x3 - 1. ...

#### Solution Summary

This shows how to find an indefinite integral and check by differentiation, and use two methods to find a given indefinite integral.

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