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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{65}{3}

+1

Decimal Notation

21.66666 \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{65}{3}

= \frac{65}{3}

Popular Examples

integral from 1 to 2 of (x+e^{-y})

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

integral from 10 to 7 of g(x)

\int_{10}^{7} g (x) d x

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

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

integral from 0 to 0.9 of e^{-x}

\int_{0}^{0.9} e^{- x} d x

integral from 0 to 2x of (2xy^3-x)

\int_{0}^{2 x} (2 x y^{3} - x) d y

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 65/3