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Step-by-step Solution

Integrate $8+5\sin\left(x\right)$ from $0$ to $\pi $

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Step-by-step explanation

Problem to solve:

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

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

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

Unlock this full step-by-step solution!

Learn how to solve definite integrals problems step by step online. Integrate 8+5sin(x) from 0 to pi. The integral of a sum of two or more functions is equal to the sum of their integrals. The integral \int_{0}^{\pi }8dx results in: 25.1327. The integral \int_{0}^{\pi }5\sin\left(x\right)dx results in: 10. After gathering the results of all integrals, the final answer is.

Answer

$35.1327$

Problem Analysis

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

Main topic:

Definite integrals

Related formulas:

2. See formulas

Time to solve it:

~ 0.6 seconds