What is the integral from 1 to 2 of x/6 ?

The integral from 1 to 2 of x/6 is 1/4

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integral from 1 to 2 of x/6

\int_{1}^{2} \frac{x}{6} d x

\frac{1}{4}

Decimal Notation

0.25

Solution steps

\int_{1}^{2} \frac{x}{6} d x

Take the constant out:

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

= \frac{1}{6} \cdot \int_{1}^{2} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1}^{2}

= \frac{1}{6} [\frac{x ^{2}}{2}]_{1}^{2}

Compute the boundaries:

\frac{3}{2}

= \frac{1}{6} \cdot \frac{3}{2}

Simplify

= \frac{1}{4}

\int_{- 2}^{2} t d t

\int_{- 1}^{1} x \cdot e^{x} d x

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

\int_{- 1}^{0} \frac{2 t}{( 3 + t ^{2} ) ^{3}} d t

\int_{4}^{6} \frac{1}{x - 3} d x

What is the integral from 1 to 2 of x/6 ?
The integral from 1 to 2 of x/6 is 1/4