What is the integral from 0 to 6 of (280)/(x+2)-35 ?

The integral from 0 to 6 of (280)/(x+2)-35 is 560ln(2)-210

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integral from 0 to 6 of (280)/(x+2)-35

\int_{0}^{6} \frac{280}{x + 2} - 35 d x

560 ln (2) - 210

Decimal Notation

178.16242 \dots

Solution steps

\int_{0}^{6} \frac{280}{x + 2} - 35 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{6} \frac{280}{x + 2} d x - \int_{0}^{6} 35 d x

\int_{0}^{6} \frac{280}{x + 2} d x = 560 ln (2)

\int_{0}^{6} 35 d x = 210

= 560 ln (2) - 210

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What is the integral from 0 to 6 of (280)/(x+2)-35 ?
The integral from 0 to 6 of (280)/(x+2)-35 is 560ln(2)-210