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- Thread starter Anti Hydrogen
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Mark44

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Differentiate your solution. Is the result you get equal to the integrand? If so, your work is correct.the book shows a solution that i m not getting

Differentiate the book's solution. Is the result equal to the integrand? If so, the book's solution is correct.

Note that it is possible for two people to get two different antiderivatives, with both being correct. In such cases, the two antiderivatives differ by a constant.

- #3

https://www.wolframalpha.com/input/?i=integral+u^2*(a+bu)^(1/2)+du

First mistake I saw in your solution is that you forgot the factor ##2## in the rule ##(a+b)^2=a^2+2ab+b^2## while expanding ##\left(\frac{v-a}{b}\right)^2##. I did not read further so it may contain further mistakes.

- #4

Anti Hydrogen

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https://es.symbolab.com/solver/integral-calculator/\int x^{2}\sqrt{a+bx}dxYour book is right:

https://www.wolframalpha.com/input/?i=integral+u^2*(a+bu)^(1/2)+du

First mistake I saw in your solution is that you forgot the factor ##2## in the rule ##(a+b)^2 = a^2 + 2ab + b^2## while expanding ##((v-a)/b)^2##. I did not read further so it may contain further mistakes.

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