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Popular >

integral from 0 to 2 of x^2+x+2

Solution

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

Solution

\frac{26}{3}

+1

Decimal Notation

8.66666 \dots

Solution steps

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

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

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

\int_{0}^{2} 2 d x = 4

= \frac{8}{3} + 2 + 4

Simplify

\frac{8}{3} + 2 + 4 : \frac{26}{3}

= \frac{26}{3}

Popular Examples

integral from 0 to k of xsqrt(x^2+4)

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

integral from 0 to infinity of 2/(9+x^2)

\int_{0}^{\infty} \frac{2}{9 + x ^{2}} d x

integral from 2 to 6 of (x-1)

\int_{2}^{6} (x - 1) d x

integral from pi/6 to pi/3 of 2cos(x)

\int_{\frac{π}{6}}^{\frac{π}{3}} 2 cos (x) d x

integral from 0 to 3 of x^3+5

\int_{0}^{3} x^{3} + 5 d x

Frequently Asked Questions (FAQ)

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