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Popular >

integral from 0 to 3 of (3x-6)

Solution

\int_{0}^{3} (3 x - 6) d x

Solution

- \frac{9}{2}

+1

Decimal

- 4.5

Solution steps

\int_{0}^{3} 3 x - 6 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 x d x - \int_{0}^{3} 6 d x

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

\int_{0}^{3} 6 d x = 18

= \frac{27}{2} - 18

Simplify

\frac{27}{2} - 18 : - \frac{9}{2}

= - \frac{9}{2}

Graph

Popular Examples

integral from 0 to 2pi of 2sin(2x)

\int_{0}^{2 π} 2 sin (2 x) d x

integral from 10 to-6 of 1

\int_{10}^{- 6} 1

integral from 0 to 3 of x-3

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

integral from 0 to 4 of sqrt(4r^2+1)r

\int_{0}^{4} 4 r^{2} + 1 r d r

integral from 5 to 6 of x^2+x+1-15

\int_{5}^{6} x^{2} + x + 1 - 15 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (3x-6) ?
The integral from 0 to 3 of (3x-6) is -9/2