What is the integral from 1 to 10 of 2/(x^3) ?

The integral from 1 to 10 of 2/(x^3) is 99/100

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integral from 1 to 10 of 2/(x^3)

\int_{1}^{10} \frac{2}{x ^{3}} d x

\frac{99}{100}

Decimal

0.99

Solution steps

\int_{1}^{10} \frac{2}{x ^{3}} d x

Take the constant out:

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

= 2 \cdot \int_{1}^{10} \frac{1}{x ^{3}} d x

Apply the Power Rule

= 2 [- \frac{1}{2 x ^{2}}]_{1}^{10}

Compute the boundaries:

\frac{99}{200}

= 2 \cdot \frac{99}{200}

Simplify

= \frac{99}{100}

\frac{d}{d x} (\frac{3}{2 x + 1})

n = 1 \sum \infty ln (\frac{1}{n})

\int \frac{1}{( x + 1 ) \cdot x ^{2} + 2 x} d x

x^{2} \frac{d y}{d x} = y - x y

\frac{\partial}{\partial x} (e^{x y z^{5}})

What is the integral from 1 to 10 of 2/(x^3) ?
The integral from 1 to 10 of 2/(x^3) is 99/100