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Popular Calculus >

integral from 0 to 4 of 2x-6

Solution

\int_{0}^{4} 2 x - 6 d x

Solution

- 8

Solution steps

\int_{0}^{4} 2 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}^{4} 2 x d x - \int_{0}^{4} 6 d x

\int_{0}^{4} 2 x d x = 16

\int_{0}^{4} 6 d x = 24

= 16 - 24

Simplify

= - 8

Graph

Popular Examples

integral from 1 to 4 of 5x

\int_{1}^{4} 5 x d x

integral from 0 to 1/4 of xln(x+1)

\int_{0}^{\frac{1}{4}} x ln (x + 1) d x

integral from pi/4 to pi/3 of sin(x)

\int_{\frac{π}{4}}^{\frac{π}{3}} sin (x) d x

integral from-2 to-1 of sqrt((-2)/x)

\int_{- 2}^{- 1} \frac{- 2}{x} d x

integral from 0 to 2 of sqrt(4-y^2)

\int_{0}^{2} 4 - y^{2} d y

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of 2x-6 ?
The integral from 0 to 4 of 2x-6 is -8