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Evaluate the indefinite integral.$\displaystyle \int (x^2 + 1)(x^3 + 3x)^4 \, dx$

$\frac{1}{15}\left(x^{3}+3 x\right)^{5}+C$

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Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

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We know that you is x cubed plus three acts. Which means that D'You the derivative tried by three is X squared plus one the axe. Which means we're evaluating the integral. We can pull out the constant from thirds and then using the power rule, we know we increase the exploited by one divide by the new exponents. Now back. Substitute us execute plus three AKs. What?