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Popular >

integral from 0 to 3 of (x-2)

Solution

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

Solution

- \frac{3}{2}

+1

Decimal

- 1.5

Solution steps

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

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

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

= \frac{9}{2} - 6

Simplify

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

= - \frac{3}{2}

Graph

Popular Examples

integral from 1 to 2 of (e^{1/2})/(x^2)

\int_{1}^{2} \frac{e ^{\frac{1}{2}}}{x ^{2}} d x

integral from 1 to 2e of ln(x)

\int_{1}^{2 e} ln (x) d x

integral from-pi/2 to pi/2 of x^2sin(x)

\int_{- \frac{π}{2}}^{\frac{π}{2}} x^{2} sin (x) d x

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

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

integral from-2 to 3 of (3x^4-4x^3-x-4)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (x-2) ?
The integral from 0 to 3 of (x-2) is -3/2