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Popular Calculus >

integral from 1 to 2 of (2x+6)

Solution

\int_{1}^{2} (2 x + 6) d x

Solution

9

Solution steps

\int_{1}^{2} 2 x + 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_{1}^{2} 2 x d x + \int_{1}^{2} 6 d x

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

\int_{1}^{2} 6 d x = 6

= 3 + 6

Simplify

= 9

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (2x+6) ?
The integral from 1 to 2 of (2x+6) is 9