What is the integral from 0 to 1 of (x^2-3x+2) ?

The integral from 0 to 1 of (x^2-3x+2) is 5/6

Popular >

integral from 0 to 1 of (x^2-3x+2)

\int_{0}^{1} (x^{2} - 3 x + 2) d x

\frac{5}{6}

Decimal

0.83333 \dots

Solution steps

\int_{0}^{1} x^{2} - 3 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_{0}^{1} x^{2} d x - \int_{0}^{1} 3 x d x + \int_{0}^{1} 2 d x

\int_{0}^{1} x^{2} d x = \frac{1}{3}

\int_{0}^{1} 3 x d x = \frac{3}{2}

\int_{0}^{1} 2 d x = 2

= \frac{1}{3} - \frac{3}{2} + 2

Simplify

\frac{1}{3} - \frac{3}{2} + 2 : \frac{5}{6}

= \frac{5}{6}

\int_{2}^{5} \frac{4 - 3 x ^{2}}{x ^{3}} d x

\int_{- 1}^{2} - x^{4} - x^{2} + 6 x + 8 d x

\int_{- 1}^{\infty} 3^{- x} d x

\int_{- 1}^{3} (3 x - 5) d x

\int_{4}^{e^{x}} (y^{5} sin (y)) d y

What is the integral from 0 to 1 of (x^2-3x+2) ?
The integral from 0 to 1 of (x^2-3x+2) is 5/6