What is the integral from 3 to 5 of x*x/8 ?

The integral from 3 to 5 of x*x/8 is 49/12

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integral from 3 to 5 of x*x/8

\int_{3}^{5} x \cdot \frac{x}{8} d x

\frac{49}{12}

Decimal Notation

4.08333 \dots

Solution steps

\int_{3}^{5} x \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} xx d x

Simplify

xx : x^{2}

= \frac{1}{8} \cdot \int_{3}^{5} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{3}^{5}

= \frac{1}{8} [\frac{x ^{3}}{3}]_{3}^{5}

Compute the boundaries:

\frac{98}{3}

= \frac{1}{8} \cdot \frac{98}{3}

Simplify

= \frac{49}{12}

\frac{8}{sin ( x ) + cos ( x )}

f (x) = 4 x^{2} - 5 x (- 1.9)

\int_{3}^{4} \frac{1}{( x - 3 ) ^{2}} d x

(\frac{3}{5}, \frac{2}{3}), (- \frac{3}{5}, \frac{3}{4})

\int (e^{t})^{2} d t

What is the integral from 3 to 5 of x*x/8 ?
The integral from 3 to 5 of x*x/8 is 49/12