# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

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

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

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

Learn how to solve definite integrals problems step by step online. Integrate 2e^x+5cos(x) from 0 to 4. The integral of a sum of two or more functions is equal to the sum of their integrals. The integral \int_{0}^{4}2e^xdx results in: 107.1963. The integral \int_{0}^{4}5\cos\left(x\right)dx results in: -3.75. After gathering the results of all integrals, the final answer is.

$103.4463$

### Problem Analysis

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

### Main topic:

Definite integrals

~ 1.09 seconds