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Popular >

integral from-2 to 3 of 1-x^2

Solution

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

Solution

- \frac{20}{3}

+1

Decimal Notation

- 6.66666 \dots

Solution steps

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

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

\int_{- 2}^{3} x^{2} d x = \frac{35}{3}

= 5 - \frac{35}{3}

Simplify

5 - \frac{35}{3} : - \frac{20}{3}

= - \frac{20}{3}

Popular Examples

integral from-2 to 2 of 19-|x|^3

\int_{- 2}^{2} 19 - ∣ x ∣^{3} d x

integral from 0 to pi 1/2 of e^{-x^2}

\int_{0}^{π \frac{1}{2}} e^{- x^{2}} d x

integral from-4 to 0 of x^3sqrt(256-x^4)

\int_{- 4}^{0} x^{3} 256 - x^{4} d x

integral from 0 to x of (4-t^2)e^{t^2}

\int_{0}^{x} (4 - t^{2}) e^{t^{2}} d t

integral from x to 1 of y

\int_{x}^{1} y d y

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of 1-x^2 ?
The integral from-2 to 3 of 1-x^2 is -20/3