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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.


    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.