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

Answer

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Answer

$20 - 7 \log (6)$ is the final answer.

Steps

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 ： $20 - 7 \log (6)$ is the final answer.

Evaluate the following integral.∫054x−3x+1dx∫054x−3x+1dx=∣ (Type an exact answer)

Answer

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