# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int_0^2\left(x^4+2x^2-5\right)dx$

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

$\int_{0}^{2} x^4dx+\left(\int_{0}^{2}2x^2dx+\int_{0}^{2}-5dx\right)$

Learn how to solve definite integrals problems step by step online. Integrate x^4+2x^2-5 from 0 to 2. Simplifying. The integral \int_{0}^{2} x^4dx results in: \frac{32}{5}. The integral \left(\int_{0}^{2}2x^2dx+\int_{0}^{2}-5dx\right) results in: 5.333333333333333. Gather the results of all integrals.

$\frac{26}{15}$$\,\,\left(\approx 1.7333333333333343\right)$
$\int_0^2\left(x^4+2x^2-5\right)dx$

### Main topic:

Definite integrals

### Time to solve it:

~ 0.07 s (SnapXam)