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Popular Calculus >

integral from 3 to 7 of (8x+5)

Solution

\int_{3}^{7} (8 x + 5) d x

Solution

180

Solution steps

\int_{3}^{7} 8 x + 5 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} 8 x d x + \int_{3}^{7} 5 d x

\int_{3}^{7} 8 x d x = 160

\int_{3}^{7} 5 d x = 20

= 160 + 20

Simplify

= 180

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 3 to 7 of (8x+5) ?
The integral from 3 to 7 of (8x+5) is 180