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Popular >

integral from-3 to 4 of (5-x/2)

Solution

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

Solution

\frac{133}{4}

+1

Solution steps

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

\int_{- 3}^{4} 5 d x = 35

\int_{- 3}^{4} \frac{x}{2} d x = \frac{7}{4}

= 35 - \frac{7}{4}

Simplify

35 - \frac{7}{4} : \frac{133}{4}

= \frac{133}{4}

Popular Examples

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

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\int_{0}^{8} π y^{\frac{2}{3}} d y

integral from 1 to e of (x^5+1)/x

\int_{1}^{e} \frac{x ^{5} + 1}{x} d x

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\int_{0}^{8} (x^{3})^{2} d x

integral from 0 to 1 of x/(sqrt(1+3x^2))

\int_{0}^{1} \frac{x}{1 + 3 x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 4 of (5-x/2) ?
The integral from-3 to 4 of (5-x/2) is 133/4