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Popular >

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

Solution

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

Solution

9

Solution steps

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

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

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

= 3 + 6

Simplify

= 9

Graph

Popular Examples

integral from 0 to 1 of 6(1-x)

\int_{0}^{1} 6 (1 - x) d x

integral from 0 to 1 of y^3

\int_{0}^{1} y^{3} d y

integral from-4 to 2 of x^2+2x-8

\int_{- 4}^{2} x^{2} + 2 x - 8 d x

integral from 0 to pi/6 of cos(2x)

\int_{0}^{\frac{π}{6}} cos (2 x) d x

integral from-pi/3 to pi/3 of tan(x)

\int_{- \frac{π}{3}}^{\frac{π}{3}} tan (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (x^2+2) ?
The integral from-1 to 2 of (x^2+2) is 9