What is the integral from 3.5 to 5 of x/8 ?

The integral from 3.5 to 5 of x/8 is 0.796875

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integral from 3.5 to 5 of x/8

\int_{3.5}^{5} \frac{x}{8} d x

0.796875

Solution steps

\int_{3.5}^{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_{3.5}^{5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{3.5}^{5}

= \frac{1}{8} [\frac{x ^{2}}{2}]_{3.5}^{5}

Simplify

= 0.125 [0.5 x^{2}]_{3.5}^{5}

Compute the boundaries:

6.375

= 0.125 \cdot 6.375

Simplify

= 0.796875

\int \frac{- 16}{4 - x ^{2}} d x

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

y^{^{''}} + 2 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 0

- 2 (x^{2} + 3 x)

2 t^{2} - 2 t + 1

What is the integral from 3.5 to 5 of x/8 ?
The integral from 3.5 to 5 of x/8 is 0.796875