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Popular >

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

Solution

\int_{0}^{2} x^{2} + x + 1 d x

Solution

\frac{20}{3}

+1

Solution steps

\int_{0}^{2} x^{2} + x + 1 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} 1 d x

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

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

\int_{0}^{2} 1 d x = 2

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

Simplify

\frac{8}{3} + 2 + 2 : \frac{20}{3}

= \frac{20}{3}

Popular Examples

integral from 2 to 3 of 1/(xln(x))

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

integral from 0 to 1 of 3x(x^2+1)^3

\int_{0}^{1} 3 x (x^{2} + 1)^{3} d x

integral from 0 to x of (x-t)f(t)

\int_{0}^{x} (x - t) f (t) d t

integral from-pi to pi of x^4cos(nx)

\int_{- π}^{π} x^{4} cos (n x) d x

integral from 0 to 0.5 of e^{-x}

\int_{0}^{0.5} e^{- x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x^2+x+1 ?
The integral from 0 to 2 of x^2+x+1 is 20/3