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 11/6

Popular >

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

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

\frac{11}{6}

Decimal

1.83333 \dots

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 = \frac{7}{3}

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

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

= \frac{7}{3} - (- \frac{3}{2}) - 2

Simplify

\frac{7}{3} - (- \frac{3}{2}) - 2 : \frac{11}{6}

= \frac{11}{6}

\frac{d y}{d x} = \frac{3 x + 2 y}{3 x + 2 y + 2}

y^{^{''}} + 7 y^{^{'}} + 10 y = - 4 sin (3 t)

sin^{2} (3 x)

f (x) = (6 x - 2)^{\frac{1}{4}}, at x = 1

\frac{8}{t}

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 11/6