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Popular Calculus >

integral from 3 to 9 of 9/x-1

Solution

\int_{3}^{9} \frac{9}{x} - 1 d x

Solution

9 ln (3) - 6

+1

Decimal

3.88751 \dots

Solution steps

\int_{3}^{9} \frac{9}{x} - 1 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_{3}^{9} \frac{9}{x} d x - \int_{3}^{9} 1 d x

\int_{3}^{9} \frac{9}{x} d x = 9 ln (3)

\int_{3}^{9} 1 d x = 6

= 9 ln (3) - 6

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 3 to 9 of 9/x-1 ?
The integral from 3 to 9 of 9/x-1 is 9ln(3)-6