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Popular Calculus >

integral from-1 to 5 of 4x-x^2+5

Solution

\int_{- 1}^{5} 4 x - x^{2} + 5 d x

Solution

36

Solution steps

\int_{- 1}^{5} 4 x - x^{2} + 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}^{5} 4 x d x - \int_{- 1}^{5} x^{2} d x + \int_{- 1}^{5} 5 d x

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

\int_{- 1}^{5} x^{2} d x = 42

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

= 48 - 42 + 30

Simplify

= 36

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 5 of 4x-x^2+5 ?
The integral from-1 to 5 of 4x-x^2+5 is 36