## Step-by-step explanation

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$\int\frac{t^2}{2}dt+\int4t^3dt$

Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(((t^2)/2)+4*t^3)dt. Expand the integral \int\left(\frac{t^2}{2}+4t^3\right)dt. The integral \int\frac{t^2}{2}dt results in: \frac{1}{6}t^{3}. The integral \int4t^3dt results in: t^{4}. Gather the results of all integrals.