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Popular >

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

Solution

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

Solution

\frac{13}{3}

+1

Decimal

4.33333 \dots

Solution steps

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

\int_{2}^{3} x^{2} d x = \frac{19}{3}

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

= \frac{19}{3} - 2

Simplify

\frac{19}{3} - 2 : \frac{13}{3}

= \frac{13}{3}

Graph

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\int_{0}^{\frac{3}{7}} 3 x - 7 x^{2} d x

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\int_{4}^{x} t^{8} d t

integral from 0 to tan(θ) of cos(y)

\int_{0}^{t a n (θ)} cos (y) d y

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\int_{x^{5}}^{π^{5}} sin (t^{2}) d t

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of (x^2-2) ?
The integral from 2 to 3 of (x^2-2) is 13/3