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Popular >

integral from-3 to 5 of (x/2+5)

Solution

\int_{- 3}^{5} (\frac{x}{2} + 5) d x

Solution

44

Solution steps

\int_{- 3}^{5} \frac{x}{2} + 5 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_{- 3}^{5} \frac{x}{2} d x + \int_{- 3}^{5} 5 d x

\int_{- 3}^{5} \frac{x}{2} d x = 4

\int_{- 3}^{5} 5 d x = 40

= 4 + 40

Simplify

= 44

Graph

Popular Examples

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

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

integral from-4 to 3 of (-2|x|)

\int_{- 4}^{3} (- 2 ∣ x ∣) d x

integral from 4 to 8 of (sqrt(x-4))

\int_{4}^{8} (x - 4) d x

integral from 0 to y of e^{x+y}

\int_{0}^{y} e^{x + y} d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 5 of (x/2+5) ?
The integral from-3 to 5 of (x/2+5) is 44