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Popular Calculus >

integral from-4 to 6 of (x/2+6)

Solution

\int_{- 4}^{6} (\frac{x}{2} + 6) d x

Solution

65

Solution steps

\int_{- 4}^{6} \frac{x}{2} + 6 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_{- 4}^{6} \frac{x}{2} d x + \int_{- 4}^{6} 6 d x

\int_{- 4}^{6} \frac{x}{2} d x = 5

\int_{- 4}^{6} 6 d x = 60

= 5 + 60

Simplify

= 65

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-4 to 6 of (x/2+6) ?
The integral from-4 to 6 of (x/2+6) is 65