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Popular Calculus >

integral from 1 to 7 of (4x-5)

Solution

\int_{1}^{7} (4 x - 5) d x

Solution

66

Solution steps

\int_{1}^{7} 4 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_{1}^{7} 4 x d x - \int_{1}^{7} 5 d x

\int_{1}^{7} 4 x d x = 96

\int_{1}^{7} 5 d x = 30

= 96 - 30

Simplify

= 66

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 7 of (4x-5) ?
The integral from 1 to 7 of (4x-5) is 66