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Popular >

integral from 0 to 2 of (x^2+3x)

Solution

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

Solution

\frac{26}{3}

+1

Decimal Notation

8.66666 \dots

Solution steps

\int_{0}^{2} x^{2} + 3 x 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_{0}^{2} x^{2} d x + \int_{0}^{2} 3 x d x

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} 3 x d x = 6

= \frac{8}{3} + 6

Simplify

\frac{8}{3} + 6 : \frac{26}{3}

= \frac{26}{3}

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\int_{0}^{4} (4 x + x) d x

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\int_{1.8}^{2.4} x e^{- x} d x

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\int_{1}^{3} 8 x d x

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\int_{0}^{l o g_{5} (2)} 5^{x} d x

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\int_{8 y^{2} + 8 z^{2}}^{8} x d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x^2+3x) ?
The integral from 0 to 2 of (x^2+3x) is 26/3