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Evaluate the indefinite integral.$\int x^{2}\left(x^{3}+5\right)^{9} d x$
$\frac{\left(x^{3}+5\right)^{10}}{30}+C$
Calculus 1 / AB
Calculus 2 / BC
Chapter 5
Integrals
Section 4
The Substitution Rule
Integration Techniques
Missouri State University
Campbell University
Harvey Mudd College
University of Nottingham
Lectures
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Evaluate the integral.…
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03:15
Evaluate the integral.
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10:22
$$\text {Evaluate the foll…
06:16
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01:54
Evaluate the following int…
00:40
Evaluate the indefinite in…
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Evaluate the indicated int…
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Find the indefinite integr…
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Okay, so we let you is equal to x cubed plus five so that 1/3 D U is equal to X squared DX we can rewrite are integral to be pulling the 1/3 out times the integral of you to the power of nine. Do you? Which is equal to 1/3 time's you to the power of 10 divided by 10 back. Substituting for you is equal to x cubed plus five We end up with one over 30 times X cube plus five to the power off 10.
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