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Popular >

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

Solution

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

Solution

\frac{3}{2}

+1

Decimal

1.5

Solution steps

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

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 3 x d x = \frac{27}{2}

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

= 9 - \frac{27}{2} + 6

Simplify

9 - \frac{27}{2} + 6 : \frac{3}{2}

= \frac{3}{2}

Graph

Popular Examples

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\int_{0}^{1} x (a + b x^{2}) d x

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\int_{0}^{2} π (2 x^{2})^{2} d x

integral from 0 to 3 of 200+10x+1/3 x^2

\int_{0}^{3} 200 + 10 x + \frac{1}{3} x^{2} d x

integral from 0 to 0.4 of 30y^2(1-y)^2

\int_{0}^{0.4} 30 y^{2} (1 - y)^{2} d y

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

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

Frequently Asked Questions (FAQ)

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