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Popular >

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

Solution

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

Solution

\frac{59}{6}

+1

Solution steps

\int_{2}^{3} 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_{2}^{3} x^{2} d x + \int_{2}^{3} x d x + \int_{2}^{3} 1 d x

\int_{2}^{3} x^{2} d x = \frac{19}{3}

\int_{2}^{3} x d x = \frac{5}{2}

\int_{2}^{3} 1 d x = 1

= \frac{19}{3} + \frac{5}{2} + 1

Simplify

\frac{19}{3} + \frac{5}{2} + 1 : \frac{59}{6}

= \frac{59}{6}

Popular Examples

integral from x to infinity of e^{-x}

\int_{x}^{\infty} e^{- x} d x

integral from 1 to 3 of x^2-6x+5

\int_{1}^{3} x^{2} - 6 x + 5 d x

integral from 0 to 4 of 1/(4x^2+9)

\int_{0}^{4} \frac{1}{4 x ^{2} + 9} d x

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

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

integral from 0 to 10 of x^2cos(4x)

\int_{0}^{10} x^{2} cos (4 x) d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of x^2+x+1 ?
The integral from 2 to 3 of x^2+x+1 is 59/6