Problem

Evaluate the following integral. \[ \int_{0}^{5} \frac{4 x-3}{x+1} d x \] \[ \int_{0}^{5} \frac{4 x-3}{x+1} d x=\mid \text { (Type an exact answer) } \]

Solution

Step 1 :The integral can be simplified by dividing the numerator by the denominator, which results in a polynomial. The integral of a polynomial can be easily calculated.

Step 2 :The integral of the function from 0 to 5 is \(20 - 7 \log(6)\).

Step 3 :\(\boxed{20 - 7 \log(6)}\) is the final answer.

From Solvely APP
Source: https://solvelyapp.com/problems/40770/

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