What is the integral from 7 to 12 of (900)/(x+13)-35 ?

The integral from 7 to 12 of (900)/(x+13)-35 is 900ln(5/4)-175

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integral from 7 to 12 of (900)/(x+13)-35

\int_{7}^{12} \frac{900}{x + 13} - 35 d x

900 ln (\frac{5}{4}) - 175

Decimal Notation

25.82919 \dots

Solution steps

\int_{7}^{12} \frac{900}{x + 13} - 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_{7}^{12} \frac{900}{x + 13} d x - \int_{7}^{12} 35 d x

\int_{7}^{12} \frac{900}{x + 13} d x = 900 ln (\frac{5}{4})

\int_{7}^{12} 35 d x = 175

= 900 ln (\frac{5}{4}) - 175

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What is the integral from 7 to 12 of (900)/(x+13)-35 ?
The integral from 7 to 12 of (900)/(x+13)-35 is 900ln(5/4)-175