# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int_{2}^{4}\left(x^2+5x+6\right)dx$

Learn how to solve definite integrals problems step by step online.

$\int_{2}^{4} x^2dx+\left(\int_{2}^{4}5xdx+\int_{2}^{4}6dx\right)$

Learn how to solve definite integrals problems step by step online. Integrate x^2+5x+6 from 2 to 4. Simplifying. The integral \int_{2}^{4} x^2dx results in: \frac{64}{3}. The integral \left(\int_{2}^{4}5xdx+\int_{2}^{4}6dx\right) results in: 40. Gather the results of all integrals.

$\frac{182}{3}$$\,\,\left(\approx 60.66666666666666\right)$
$\int_{2}^{4}\left(x^2+5x+6\right)dx$

### Main topic:

Definite integrals

8

### Time to solve it:

~ 0.06 s (SnapXam)