What is the integral from 1 to 1000 of (17)/(x^3) ?

The integral from 1 to 1000 of (17)/(x^3) is 16999983/2000000

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integral from 1 to 1000 of (17)/(x^3)

\int_{1}^{1000} \frac{17}{x ^{3}} d x

\frac{16999983}{2000000}

Decimal

8.4999915

Solution steps

\int_{1}^{1000} \frac{17}{x ^{3}} d x

Take the constant out:

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

= 17 \cdot \int_{1}^{1000} \frac{1}{x ^{3}} d x

Apply the Power Rule

: [- \frac{1}{2 x ^{2}}]_{1}^{1000}

= 17 [- \frac{1}{2 x ^{2}}]_{1}^{1000}

Compute the boundaries:

\frac{999999}{2000000}

= 17 \cdot \frac{999999}{2000000}

Simplify

= \frac{16999983}{2000000}

\frac{d}{d t} (\frac{sec ^{2} ( t )}{cos ( t ) ( sec ( t ) )})

\int_{0}^{1} \frac{59}{4 y - 1} d y

\frac{d}{d x} (3 cos (x) + 3 x sin (x))

(6, - 4), (3, 1)

\frac{\partial}{\partial y} (y^{2} + x y + 3 y + 2 x + 3)

What is the integral from 1 to 1000 of (17)/(x^3) ?
The integral from 1 to 1000 of (17)/(x^3) is 16999983/2000000