What is the integral from 2 to 3 of (7x^6)/(2187) ?

The integral from 2 to 3 of (7x^6)/(2187) is 2059/2187

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integral from 2 to 3 of (7x^6)/(2187)

\int_{2}^{3} \frac{7 x ^{6}}{2187} d x

\frac{2059}{2187}

Decimal Notation

0.94147 \dots

Solution steps

\int_{2}^{3} \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_{2}^{3} x^{6} d x

Apply the Power Rule

: [\frac{x ^{7}}{7}]_{2}^{3}

= \frac{7}{2187} [\frac{x ^{7}}{7}]_{2}^{3}

Compute the boundaries:

\frac{2059}{7}

= \frac{7}{2187} \cdot \frac{2059}{7}

Simplify

= \frac{2059}{2187}

\int_{e}^{\infty} ln (x) d x

\int_{0}^{5} \frac{x}{( 1 + x ) ^{\frac{3}{4}}} d x

\int_{e}^{e^{3}} \frac{5}{x ln ^{2} ( x )} d x

\int_{0}^{1} 6 x^{2} (3 - 2 x^{3})^{3} d x

\int_{0}^{2} 3 e^{x^{3}} d x

What is the integral from 2 to 3 of (7x^6)/(2187) ?
The integral from 2 to 3 of (7x^6)/(2187) is 2059/2187