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Step-by-step Solution

Integrate 2e^x+5cos(x) from 0 to 4

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asin
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sinh
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asinh
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Answer

$107.5451$

Step-by-step explanation

Problem to solve:

$\int_0^4\left(2e^x+5\cos\left(x\right)\right)dx$
1

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

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

Take the constant out of the integral

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

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Answer

$107.5451$
$\int_0^4\left(2e^x+5\cos\left(x\right)\right)dx$

Main topic:

Integral calculus

Used formulas:

2. See formulas

Time to solve it:

~ 0.71 seconds