# Math virtual assistant

Calculators Topics Go Premium About Snapxam

# Step-by-step Solution

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## Answer

$53.2091$

## Step-by-step explanation

Problem to solve:

$\int_{2}^{4}\left(x+e^x\right)dx$
1

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int_{2}^{4} xdx+\int_{2}^{4} e^xdx$
2

Applying the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a constant function

$\left[\frac{1}{2}x^2\right]_{2}^{4}+\int_{2}^{4} e^xdx$

## Answer

$53.2091$
$\int_{2}^{4}\left(x+e^x\right)dx$

### Main topic:

Integral calculus

~ 0.84 seconds

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