# Step-by-step Solution

## Trigonometric integral $\int_{0}^{\pi }\left(8+5\sin\left(x\right)\right)dx$

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### Videos

$35.1327$

## Step-by-step explanation

Problem to solve:

$\int_0^{\pi}\left(8+5\sin\left(x\right)\right)dx$
1

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

$\int_{0}^{\pi }8dx+\int_{0}^{\pi }5\sin\left(x\right)dx$
2

The integral of a constant is equal to the constant times the integral's variable

$\left[8x\right]_{0}^{\pi }+\int_{0}^{\pi }5\sin\left(x\right)dx$

$35.1327$
$\int_0^{\pi}\left(8+5\sin\left(x\right)\right)dx$

### Main topic:

Integral calculus

~ 0.66 seconds