What is the integral from 3 to 7 of 9/x+3x ?

The integral from 3 to 7 of 9/x+3x is 9(ln(7)-ln(3))+60

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integral from 3 to 7 of 9/x+3x

\int_{3}^{7} \frac{9}{x} + 3 x d x

9 (ln (7) - ln (3)) + 60

Decimal

67.62568 \dots

Solution steps

\int_{3}^{7} \frac{9}{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_{3}^{7} \frac{9}{x} d x + \int_{3}^{7} 3 x d x

\int_{3}^{7} \frac{9}{x} d x = 9 (ln (7) - ln (3))

\int_{3}^{7} 3 x d x = 60

= 9 (ln (7) - ln (3)) + 60

What is the integral from 3 to 7 of 9/x+3x ?
The integral from 3 to 7 of 9/x+3x is 9(ln(7)-ln(3))+60