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Popular Calculus >

integral from 1 to 3 of 2/x+1

Solution

\int_{1}^{3} \frac{2}{x} + 1 d x

Solution

2 ln (3) + 2

+1

Decimal

4.19722 \dots

Solution steps

\int_{1}^{3} \frac{2}{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_{1}^{3} \frac{2}{x} d x + \int_{1}^{3} 1 d x

\int_{1}^{3} \frac{2}{x} d x = 2 ln (3)

\int_{1}^{3} 1 d x = 2

= 2 ln (3) + 2

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of 2/x+1 ?
The integral from 1 to 3 of 2/x+1 is 2ln(3)+2