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Popular >

integral from-2 to 4 of x/2+3

Solution

\int_{- 2}^{4} \frac{x}{2} + 3 d x

Solution

21

Solution steps

\int_{- 2}^{4} \frac{x}{2} + 3 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_{- 2}^{4} \frac{x}{2} d x + \int_{- 2}^{4} 3 d x

\int_{- 2}^{4} \frac{x}{2} d x = 3

\int_{- 2}^{4} 3 d x = 18

= 3 + 18

Simplify

= 21

Popular Examples

integral from-2 to 2 of 6-x^2

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

integral from 0 to 5 of (3x+1)

\int_{0}^{5} (3 x + 1) d x

integral from 0 to 6-x of 6-x-z

\int_{0}^{6 - x} 6 - x - z d z

integral from 0 to 2 of (2x-1)^3

\int_{0}^{2} (2 x - 1)^{3} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from-2 to 4 of x/2+3 ?
The integral from-2 to 4 of x/2+3 is 21