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Popular Calculus >

integral from 0 to 3 of (3x-5)

Solution

\int_{0}^{3} (3 x - 5) d x

Solution

- \frac{3}{2}

+1

Decimal

- 1.5

Solution steps

\int_{0}^{3} 3 x - 5 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} 5 d x

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

\int_{0}^{3} 5 d x = 15

= \frac{27}{2} - 15

Simplify

\frac{27}{2} - 15 : - \frac{3}{2}

= - \frac{3}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (3x-5) ?
The integral from 0 to 3 of (3x-5) is -3/2