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Popular >

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

Solution

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

Solution

\frac{21}{2}

+1

Solution steps

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

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

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

\int_{- 1}^{2} 2 d x = 6

= 3 + \frac{3}{2} + 6

Simplify

3 + \frac{3}{2} + 6 : \frac{21}{2}

= \frac{21}{2}

Popular Examples

integral from-1 to 5 of cos(x)

\int_{- 1}^{5} cos (x) d x

integral from-2 to-1 of 3e^{-5x+8}

\int_{- 2}^{- 1} 3 e^{- 5 x + 8} d x

integral from 1 to 3 of x^{3/4}

\int_{1}^{3} x^{\frac{3}{4}} d x

integral from a to b of 6x^2

\int_{a}^{b} 6 x^{2} d x

integral from 1 to e of x^2*ln(x)

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of x^2+x+2 ?
The integral from-1 to 2 of x^2+x+2 is 21/2