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Popular >

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

Solution

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

Solution

44

Solution steps

\int_{5}^{1} - 4 x + 1 d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{1}^{5} - 4 x + 1 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}^{5} 4 x d x + \int_{1}^{5} 1 d x)

\int_{1}^{5} 4 x d x = 48

\int_{1}^{5} 1 d x = 4

= - (- 48 + 4)

Simplify

= 44

Graph

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integral from 1 to 4 of x/(x^2+6x+13)

\int_{1}^{4} \frac{x}{x ^{2} + 6 x + 13} d x

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Frequently Asked Questions (FAQ)

What is the integral from 5 to 1 of (-4x+1) ?
The integral from 5 to 1 of (-4x+1) is 44