Final answer to the problem
$\frac{4}{3}x^{3}-x^2+x-\frac{1}{2}\ln\left(2x+1\right)+C_0$
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Step-by-step Solution
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1
Find the integral
$\int\frac{8x^3}{2x+1}dx$
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$\int\frac{8x^3}{2x+1}dx$
Learn how to solve problems step by step online. Find the integral of (8x^3)/(2x+1). Find the integral. Take out the constant 8 from the integral. Divide x^3 by 2x+1. Resulting polynomial.
Final answer to the problem
$\frac{4}{3}x^{3}-x^2+x-\frac{1}{2}\ln\left(2x+1\right)+C_0$