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Popular >

integral from-4 to 4 of x/2+1

Solution

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

Solution

8

Solution steps

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

\int_{- 4}^{4} \frac{x}{2} d x = 0

\int_{- 4}^{4} 1 d x = 8

= 0 + 8

Simplify

= 8

Graph

Popular Examples

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

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

integral from 0 to 3 of 2x^3

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

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

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

integral from 0 to 1/2 of ysin((npiy)/2)

\int_{0}^{\frac{1}{2}} y sin (\frac{nπ y}{2}) d y

integral from 1 to 3 of 4x^2

\int_{1}^{3} 4 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of x/2+1 ?
The integral from-4 to 4 of x/2+1 is 8