# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int\left(\frac{t^2}{2}+4t^3\right)dt$

Choose the solving method

Learn how to solve integrals of polynomial functions problems step by step online.

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

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.

$\frac{1}{6}t^{3}+t^{4}+C_0$
$\int\left(\frac{t^2}{2}+4t^3\right)dt$

### Main topic:

Integrals of polynomial functions

### Time to solve it:

~ 0.05 s (SnapXam)