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Popular >

integral from 0 to 2 of x^2+3

Solution

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

Solution

\frac{26}{3}

+1

Decimal Notation

8.66666 \dots

Solution steps

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

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

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

= \frac{8}{3} + 6

Simplify

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

= \frac{26}{3}

Popular Examples

integral from 1 to 3 of x^2+2x-4

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

integral from 0 to 1 of x^0ln(x)

\int_{0}^{1} x^{0} ln (x) d x

integral from-1 to 4 of 1/(sqrt(4-x))

\int_{- 1}^{4} \frac{1}{4 - x} d x

integral from 0 to pi/2 of 1/(2+cos(x))

\int_{0}^{\frac{π}{2}} \frac{1}{2 + cos ( x )} d x

integral from 1 to-1 of (9r+8)^2

\int_{1}^{- 1} (9 r + 8)^{2} d r

Frequently Asked Questions (FAQ)

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