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Popular >

integral from 0 to 3 of 3-x

Solution

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

Solution

\frac{9}{2}

+1

Solution steps

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

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

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

= 9 - \frac{9}{2}

Simplify

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

= \frac{9}{2}

Popular Examples

(4 sin (x))^{^{'}}

integral of 1/(49e^{-9x)+e^{9x}}

\int \frac{1}{49 e ^{- 9 x} + e ^{9 x}} d x

integral of (x^2)/(2sqrt(x))

\int \frac{x ^{2}}{2 x} d x

integral of (x^3+6x)^5(6x^2+12)

\int (x^{3} + 6 x)^{5} (6 x^{2} + 12) d x

derivative of (ax-b/(x^2-1))

\frac{d}{d x} (\frac{a x - b}{x ^{2} - 1})

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 3-x ?
The integral from 0 to 3 of 3-x is 9/2