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Popular >

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

Solution

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

Solution

\frac{14}{3}

+1

Decimal

4.66666 \dots

Solution steps

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

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

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

\int_{- 1}^{1} 2 d x = 4

= \frac{2}{3} + 0 + 4

Simplify

\frac{2}{3} + 0 + 4 : \frac{14}{3}

= \frac{14}{3}

Graph

Popular Examples

integral from-1 to 1 of x-3+1/(x-2)

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

integral from 0 to 1 of 3.6x^3-2.4x^4

\int_{0}^{1} 3.6 x^{3} - 2.4 x^{4} d x

integral from 50 to 100 of 7x

\int_{50}^{100} 7 x d x

integral from 1 to e of zln(z)

\int_{1}^{e} z ln (z) d z

integral from-1 to 2 of-x^2-x+8

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of x^2+x+2 ?
The integral from-1 to 1 of x^2+x+2 is 14/3