What is the integral from 3 to 4.5 of x/8 ?

The integral from 3 to 4.5 of x/8 is 0.703125

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integral from 3 to 4.5 of x/8

\int_{3}^{4.5} \frac{x}{8} d x

0.703125

Solution steps

\int_{3}^{4.5} \frac{x}{8} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{8} \cdot \int_{3}^{4.5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{3}^{4.5}

= \frac{1}{8} [\frac{x ^{2}}{2}]_{3}^{4.5}

Simplify

= 0.125 [0.5 x^{2}]_{3}^{4.5}

Compute the boundaries:

5.625

= 0.125 \cdot 5.625

Simplify

= 0.703125

\int \frac{x ^{3}}{x ^{3} + 1} d x

\int \frac{4 + x}{x ^{2}} d x

\frac{d q}{d t} = 5 - 5 q

y = lo g_{2} (x) \cdot lo g_{5} (x)

x \to 2 - lim (\frac{1}{x ^{2} - 4})

What is the integral from 3 to 4.5 of x/8 ?
The integral from 3 to 4.5 of x/8 is 0.703125