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Popular >

integral from 0 to 3 of (2-x)

Solution

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

Solution

\frac{3}{2}

+1

Solution steps

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

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

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

= 6 - \frac{9}{2}

Simplify

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

= \frac{3}{2}

Popular Examples

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

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

integral from 1 to 3 of 3x(x^2+5)

\int_{1}^{3} 3 x (x^{2} + 5) d x

integral from 0 to 1 of (x^2)^2

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

integral from 0 to 1 of 2x+3

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

integral from 1 to 4 of (3x^2-(x^3)/4)

\int_{1}^{4} (3 x^{2} - \frac{x ^{3}}{4}) d x

Frequently Asked Questions (FAQ)

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