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Popular >

integral from 1 to 4 of (-5-x^2)

Solution

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

Solution

- 36

Solution steps

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

\int_{1}^{4} 5 d x = 15

\int_{1}^{4} x^{2} d x = 21

= - 15 - 21

Simplify

= - 36

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Frequently Asked Questions (FAQ)

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