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Popular Calculus >

integral from-5 to 1 of (-x^2-3x)

Solution

\int_{- 5}^{1} (- x^{2} - 3 x) d x

Solution

- 6

Solution steps

\int_{- 5}^{1} - x^{2} - 3 x 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_{- 5}^{1} x^{2} d x - \int_{- 5}^{1} 3 x d x

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

\int_{- 5}^{1} 3 x d x = - 36

= - 42 - (- 36)

Simplify

= - 6

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-5 to 1 of (-x^2-3x) ?
The integral from-5 to 1 of (-x^2-3x) is -6