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# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int_3^8\left(5x-20\right)dx$

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

$\int_{3}^{8}5xdx+\int_{3}^{8}-20dx$

Learn how to solve definite integrals problems step by step online. Integrate 5x-20 from 3 to 8. The integral of a sum of two or more functions is equal to the sum of their integrals. The integral \int_{3}^{8}5xdx results in: 137.5. The integral \int_{3}^{8}-20dx results in: -160. After gathering the results of all integrals, the final answer is.

$\frac{75}{2}$$\,\,\left(\approx 37.5\right)$

### Problem Analysis

$\int_3^8\left(5x-20\right)dx$

### Main topic:

Definite integrals

~ 0.15 seconds