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Popular >

integral from 1 to 4 of 4-4/x

Solution

\int_{1}^{4} 4 - \frac{4}{x} d x

Solution

12 - 8 ln (2)

+1

Decimal

6.45482 \dots

Solution steps

\int_{1}^{4} 4 - \frac{4}{x} 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_{1}^{4} 4 d x - \int_{1}^{4} \frac{4}{x} d x

\int_{1}^{4} 4 d x = 12

\int_{1}^{4} \frac{4}{x} d x = 8 ln (2)

= 12 - 8 ln (2)

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of 4-4/x ?
The integral from 1 to 4 of 4-4/x is 12-8ln(2)