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Popular >

integral from-4 to 4 of x-2

Solution

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

Solution

- 16

Solution steps

\int_{- 4}^{4} 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_{- 4}^{4} x d x - \int_{- 4}^{4} 2 d x

\int_{- 4}^{4} x d x = 0

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

= 0 - 16

Simplify

= - 16

Popular Examples

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

\int_{0}^{4} \frac{1}{e ^{x} + 1} d x

integral from 0 to 1 of (y^2)/2

\int_{0}^{1} \frac{y ^{2}}{2} d y

integral from 2 to 3 of 1/(x^2-6x+10)

\int_{2}^{3} \frac{1}{x ^{2} - 6 x + 10} d x

integral from 1 to 4 of x/(1+x^2)

\int_{1}^{4} \frac{x}{1 + x ^{2}} d x

integral from-3 to 0 of (y/3+sqrt(y+4))

\int_{- 3}^{0} (\frac{y}{3} + y + 4) d y

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of x-2 ?
The integral from-4 to 4 of x-2 is -16