What is the integral from 1 to 2 of 5/(8x^6) ?

The integral from 1 to 2 of 5/(8x^6) is 31/256

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integral from 1 to 2 of 5/(8x^6)

\int_{1}^{2} \frac{5}{8 x ^{6}} d x

\frac{31}{256}

Decimal Notation

0.12109375

Solution steps

\int_{1}^{2} \frac{5}{8 x ^{6}} d x

Take the constant out:

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

= \frac{5}{8} \cdot \int_{1}^{2} \frac{1}{x ^{6}} d x

Apply the Power Rule

: [- \frac{1}{5 x ^{5}}]_{1}^{2}

= \frac{5}{8} [- \frac{1}{5 x ^{5}}]_{1}^{2}

Compute the boundaries:

\frac{31}{160}

= \frac{5}{8} \cdot \frac{31}{160}

Simplify

= \frac{31}{256}

n = 2 \sum \infty \frac{1}{n - 1}

x y^{^{'}} + y = 3 x + 5 x

y = - 0, 7248 x 2 - 0, 2682 x + 0, 6271

\frac{5 ^{x}}{cos ( x )}

\frac{\partial}{\partial u} (uv)

What is the integral from 1 to 2 of 5/(8x^6) ?
The integral from 1 to 2 of 5/(8x^6) is 31/256