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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

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}

Graph

Popular Examples

integral from 0 to 3 of x^2+4

\int_{0}^{3} x^{2} + 4 d x

integral from 0 to 8 of sqrt(1+9/4 x)

\int_{0}^{8} 1 + \frac{9}{4} x d x

integral from 5.5 to 10 of (1/2 x)+5.5

\int_{5.5}^{10} (\frac{1}{2} x) + 5.5 d x

integral from 1 to 2 of (ln(2x))/(2x)

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

integral from 0 to 1 of (x^2+2x)^2(x+1)

\int_{0}^{1} (x^{2} + 2 x)^{2} (x + 1) 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