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

The integral from 1 to 100 of 3/(x^3) is 29997/20000

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integral from 1 to 100 of 3/(x^3)

\int_{1}^{100} \frac{3}{x ^{3}} d x

\frac{29997}{20000}

Solution steps

\int_{1}^{100} \frac{3}{x ^{3}} d x

Take the constant out:

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

= 3 \cdot \int_{1}^{100} \frac{1}{x ^{3}} d x

Apply the Power Rule

: [- \frac{1}{2 x ^{2}}]_{1}^{100}

= 3 [- \frac{1}{2 x ^{2}}]_{1}^{100}

Compute the boundaries:

\frac{9999}{20000}

= 3 \cdot \frac{9999}{20000}

Simplify

= \frac{29997}{20000}

x \to 6 lim (x^{- 1})

x - y^{2} = 1, x + y = 7

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

ln (1 - x)

What is the integral from 1 to 100 of 3/(x^3) ?
The integral from 1 to 100 of 3/(x^3) is 29997/20000