Question
Evaluate the definite integral.$$\int_{e}^{1} x^{2}\left(1+2 x^{3}\right)^{5} d x$$
Step 1
Let's set $$u = 1 + 2x^3$$ Then, the derivative of u with respect to x is $$du = 6x^2 dx$$ We can see that $x^2 dx$ is in our integral, but we need a 6. So, we can rewrite $du$ as $$\frac{1}{6} du = x^2 dx$$ Show more…
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