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Popular >

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

Solution

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

Solution

8

Solution steps

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

\int_{- 1}^{3} 3 x d x = 12

\int_{- 1}^{3} 1 d x = 4

= 12 - 4

Simplify

= 8

Graph

Popular Examples

integral from-pi to pi of x*cos(x)

\int_{- π}^{π} x \cdot cos (x) d x

integral from 0 to 3 of x-2

\int_{0}^{3} x - 2 d x

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

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

integral from 1 to e of piln^2(y)

\int_{1}^{e} π ln^{2} (y) d y

integral from 0 to pi/2 of cos(1/2 x)

\int_{0}^{\frac{π}{2}} cos (\frac{1}{2} x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (3x-1) ?
The integral from-1 to 3 of (3x-1) is 8