What is the integral from 1 to 100 of (13)/(x^3) ?

The integral from 1 to 100 of (13)/(x^3) is 129987/20000

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integral from 1 to 100 of (13)/(x^3)

\int_{1}^{100} \frac{13}{x ^{3}} d x

\frac{129987}{20000}

Decimal

6.49935

Solution steps

\int_{1}^{100} \frac{13}{x ^{3}} d x

Take the constant out:

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

= 13 \cdot \int_{1}^{100} \frac{1}{x ^{3}} d x

Apply the Power Rule

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

= 13 [- \frac{1}{2 x ^{2}}]_{1}^{100}

Compute the boundaries:

\frac{9999}{20000}

= 13 \cdot \frac{9999}{20000}

Simplify

= \frac{129987}{20000}

f (t) = t e^{t}

x \to 0 lim (x^{4} \cdot cos (\frac{π}{x}))

y = (1 + 5 x)^{10}, (0, 1)

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

\int (x + 2)^{11} d x

What is the integral from 1 to 100 of (13)/(x^3) ?
The integral from 1 to 100 of (13)/(x^3) is 129987/20000