What is the integral from 2 to 5 of 8x^7 ?

The integral from 2 to 5 of 8x^7 is 390369

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integral from 2 to 5 of 8x^7

\int_{2}^{5} 8 x^{7} d x

390369

Solution steps

\int_{2}^{5} 8 x^{7} d x

Take the constant out:

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

= 8 \cdot \int_{2}^{5} x^{7} d x

Apply the Power Rule

: [\frac{x ^{8}}{8}]_{2}^{5}

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

Compute the boundaries:

\frac{390369}{8}

= 8 \cdot \frac{390369}{8}

Simplify

= 390369

\int_{1}^{6} \frac{3}{x ^{2}} d x

y = - \frac{1}{5} x^{2} - \frac{6}{5} x + \frac{7}{5}, (- 5, 5)

\int e^{x} \cdot sin (2 x) d x

\frac{d}{d x} (3 5 x + 4 x^{\frac{1}{2}} - 3 x)

x^{2} \frac{d y}{d x} - 2 x y = 6 y^{4}, y (1) = \frac{1}{5}

What is the integral from 2 to 5 of 8x^7 ?
The integral from 2 to 5 of 8x^7 is 390369