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Popular >

integral from-2 to 2 of x^2-3x+5

Solution

\int_{- 2}^{2} x^{2} - 3 x + 5 d x

Solution

\frac{76}{3}

+1

Decimal Notation

25.33333 \dots

Solution steps

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

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

\int_{- 2}^{2} 3 x d x = 0

\int_{- 2}^{2} 5 d x = 20

= \frac{16}{3} - 0 + 20

Simplify

\frac{16}{3} - 0 + 20 : \frac{76}{3}

= \frac{76}{3}

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\int_{0}^{1} y (e^{- y^{2}}) d y

integral from 0.5 to 1.5 of x/2

\int_{0.5}^{1.5} \frac{x}{2} d x

integral from 0 to pi of sin^2(θ)cos(θ)

\int_{0}^{π} sin^{2} (θ) cos (θ) d θ

integral from 0 to 2 of 4/(x^2+4)

\int_{0}^{2} \frac{4}{x ^{2} + 4} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of x^2-3x+5 ?
The integral from-2 to 2 of x^2-3x+5 is 76/3