What is the integral from 2 to 4 of (2/x+3x) ?

The integral from 2 to 4 of (2/x+3x) is 2ln(2)+18

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integral from 2 to 4 of (2/x+3x)

\int_{2}^{4} (\frac{2}{x} + 3 x) d x

2 ln (2) + 18

Decimal

19.38629 \dots

Solution steps

\int_{2}^{4} \frac{2}{x} + 3 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_{2}^{4} \frac{2}{x} d x + \int_{2}^{4} 3 x d x

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

\int_{2}^{4} 3 x d x = 18

= 2 ln (2) + 18

What is the integral from 2 to 4 of (2/x+3x) ?
The integral from 2 to 4 of (2/x+3x) is 2ln(2)+18