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Popular Calculus >

integral from 0 to 4 of 1/2 x+2

Solution

\int_{0}^{4} \frac{1}{2} x + 2 d x

Solution

12

Solution steps

\int_{0}^{4} \frac{1}{2} x + 2 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_{0}^{4} \frac{1}{2} x d x + \int_{0}^{4} 2 d x

\int_{0}^{4} \frac{1}{2} x d x = 4

\int_{0}^{4} 2 d x = 8

= 4 + 8

Simplify

= 12

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of 1/2 x+2 ?
The integral from 0 to 4 of 1/2 x+2 is 12