- #1
whatlifeforme
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Homework Statement
Integrate by parts.
Homework Equations
(integral) (x^5 * sqrt(x^3 + 5) dx)
The Attempt at a Solution
i've tried using simple substitution, not by parts.
integral (x^3 * x^2 * sqrt(x^3 + 5) dx
u=x^3 + 5
du=3x^2
1/3(integral) (u-5) * u^1/2 du
1/3(u^3/2 - 5u^1/2)
--------------------------------------------
2 (x^3 + 5)^5/2
--
15
(subtract)
10 (x^3 + 5)^3/2
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3
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