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Step-by-step Solution

Integrate $6\left(-\left(\frac{240}{x+1}\right)+340\right)$ from $0$ to $5$

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Answer

$7619.8664$

Step-by-step explanation

Problem to solve:

$\int_{0}^{5}6\left(\left(-1\right)\cdot\frac{240}{x+1}+340\right)dx$
1

Take the constant out of the integral

$6\int_{0}^{5}\left(-\left(\frac{240}{x+1}\right)+340\right)dx$
2

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

$6\int_{0}^{5}-\left(\frac{240}{x+1}\right)dx+6\int_{0}^{5}340dx$

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Answer

$7619.8664$