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Popular Calculus >

integral from-1 to 2 of (3x-2)

Solution

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

Solution

- \frac{3}{2}

+1

Decimal

- 1.5

Solution steps

\int_{- 1}^{2} 3 x - 2 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_{- 1}^{2} 3 x d x - \int_{- 1}^{2} 2 d x

\int_{- 1}^{2} 3 x d x = \frac{9}{2}

\int_{- 1}^{2} 2 d x = 6

= \frac{9}{2} - 6

Simplify

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

= - \frac{3}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (3x-2) ?
The integral from-1 to 2 of (3x-2) is -3/2