# Step-by-step Solution

## Find the integral $\int\left(3t^2+\frac{t}{2}\right)dt$

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

## Step-by-step explanation

Problem to solve:

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

Choose the solving method

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

$\int3t^2dt+\int\frac{t}{2}dt$

Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(3*t^2+(t/2))dt. Expand the integral \int\left(3t^2+\frac{t}{2}\right)dt. The integral \int3t^2dt results in: t^{3}. The integral \int\frac{t}{2}dt results in: \frac{1}{4}t^2. Gather the results of all integrals.

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

### Main topic:

Integrals of polynomial functions

### Time to solve it:

~ 0.05 s (SnapXam)