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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{5}{3}

+1

Decimal Notation

1.66666 \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{35}{3}

\int_{- 2}^{3} 2 d x = 10

= \frac{35}{3} - 10

Simplify

\frac{35}{3} - 10 : \frac{5}{3}

= \frac{5}{3}

Popular Examples

integral from-1 to 3 of (x^2+3)^3x

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

integral from 1 to 3 of sqrt(1+x)

\int_{1}^{3} 1 + x d x

integral from-2 to 2 of 10x^9+25x^{17}

\int_{- 2}^{2} 10 x^{9} + 25 x^{17} d x

integral from-4 to-2 of y^2+1/(y^3)

\int_{- 4}^{- 2} y^{2} + \frac{1}{y ^{3}} d y

integral from-L to 0 of x^2cos((npix)/L)

\int_{- L}^{0} x^{2} cos (\frac{nπ x}{L}) d x

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 5/3