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Popular >

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

Solution

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

Solution

12

Solution steps

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

\int_{- 1}^{2} 5 d x = 15

\int_{- 1}^{2} x^{2} d x = 3

= 15 - 3

Simplify

= 12

Graph

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\int_{0}^{2 π} cos (2 x) sin (5 x) d x

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\int_{2}^{4} e^{x} d x

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\int_{1}^{3} (1 + \frac{1}{x} + \frac{1}{x ^{2}}) d x

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\int_{0}^{b} \frac{1}{1 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (5-x^2) ?
The integral from-1 to 2 of (5-x^2) is 12