What is the integral from 0 to 2 of (7x^6)/(2187) ?

The integral from 0 to 2 of (7x^6)/(2187) is 128/2187

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integral from 0 to 2 of (7x^6)/(2187)

\int_{0}^{2} \frac{7 x ^{6}}{2187} d x

\frac{128}{2187}

Decimal Notation

0.05852 \dots

Solution steps

\int_{0}^{2} \frac{7 x ^{6}}{2187} d x

Take the constant out:

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

= \frac{7}{2187} \cdot \int_{0}^{2} x^{6} d x

Apply the Power Rule

: [\frac{x ^{7}}{7}]_{0}^{2}

= \frac{7}{2187} [\frac{x ^{7}}{7}]_{0}^{2}

Compute the boundaries:

\frac{128}{7}

= \frac{7}{2187} \cdot \frac{128}{7}

Simplify

= \frac{128}{2187}

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What is the integral from 0 to 2 of (7x^6)/(2187) ?
The integral from 0 to 2 of (7x^6)/(2187) is 128/2187