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Popular Calculus >

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

Solution

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

Solution

7

Solution steps

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

\int_{- 6}^{1} 2 x d x = - 35

\int_{- 6}^{1} 6 d x = 42

= - 35 + 42

Simplify

= 7

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-6 to 1 of (2x+6) ?
The integral from-6 to 1 of (2x+6) is 7