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Popular >

integral from 0 to 2 of x^2-3x+2

Solution

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

Solution

\frac{2}{3}

+1

Decimal

0.66666 \dots

Solution steps

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

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} 3 x d x = 6

\int_{0}^{2} 2 d x = 4

= \frac{8}{3} - 6 + 4

Simplify

\frac{8}{3} - 6 + 4 : \frac{2}{3}

= \frac{2}{3}

Graph

Popular Examples

integral from 0 to 2 of 3/4 x(2-x)

\int_{0}^{2} \frac{3}{4} x (2 - x) d x

integral from 0 to pi/4 of sin(x)+cos(x)

\int_{0}^{\frac{π}{4}} sin (x) + cos (x) d x

integral from 0 to pi/3 of xsin(x)

\int_{0}^{\frac{π}{3}} x sin (x) d x

integral from 6 to 8 of x/(50)

\int_{6}^{8} \frac{x}{50} d x

integral from 4 to 16 of x/2-sqrt(x)

\int_{4}^{16} \frac{x}{2} - x d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x^2-3x+2 ?
The integral from 0 to 2 of x^2-3x+2 is 2/3