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

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

Popular >

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

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

\frac{21}{2}

Solution steps

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

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

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

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

= 3 - (- \frac{3}{2}) + 6

Simplify

3 - (- \frac{3}{2}) + 6 : \frac{21}{2}

= \frac{21}{2}

\int_{0}^{2} x^{2} - 5 d x

\int_{- 1}^{1} 2 y^{2} d y

\int_{0}^{y^{2}} e^{- x} d x

\int_{0}^{30} (10 - \frac{x}{3})^{2} d x

\int_{0}^{π} (1 - \frac{x}{π}) cos (l x) d x

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