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Popular >

integral from 0 to 3 of-x+3

Solution

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

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

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

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

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

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

Simplify

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

= \frac{9}{2}

Graph

Popular Examples

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\int_{1}^{6} ∣ 3 x - 9 ∣ d x

integral from 1 to 2 of sqrt(1+x)

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

integral from 0 to 1 of (y+1)sqrt(1-y)

\int_{0}^{1} (y + 1) 1 - y d y

integral from 0 to 1 of (3x+5)^6

\int_{0}^{1} (3 x + 5)^{6} d x

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

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

Frequently Asked Questions (FAQ)

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