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Popular >

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

Solution

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

Solution

\frac{10}{3}

+1

Decimal

3.33333 \dots

Solution steps

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

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

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

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

Simplify

- \frac{2}{3} + 4 : \frac{10}{3}

= \frac{10}{3}

Graph

Popular Examples

integral from-4 to 2 of (2x)/(3x^2+10)

\int_{- 4}^{2} \frac{2 x}{3 x ^{2} + 10} d x

integral from 0 to 3 of (sqrt(9-x^2))/3

\int_{0}^{3} \frac{9 - x ^{2}}{3} d x

integral from 1 to e^9 of (10ln(x))/x

\int_{1}^{e^{9}} \frac{10 ln ( x )}{x} d x

integral from 4 to 8 of x^3

\int_{4}^{8} x^{3} d x

integral from 1 to infinity of (1/x)^2

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of-x^2+2 ?
The integral from-1 to 1 of-x^2+2 is 10/3