What is the integral from 1 to 10 of (17)/(x^3) ?

The integral from 1 to 10 of (17)/(x^3) is 1683/200

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integral from 1 to 10 of (17)/(x^3)

\int_{1}^{10} \frac{17}{x ^{3}} d x

\frac{1683}{200}

Decimal Notation

8.415

Solution steps

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

Apply the Power Rule

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

= 17 [- \frac{1}{2 x ^{2}}]_{1}^{10}

Compute the boundaries:

\frac{99}{200}

= 17 \cdot \frac{99}{200}

Simplify

= \frac{1683}{200}

\int \frac{tan ( ln ( 3 x + 4 ) )}{3 x + 4} d x

\int \frac{1}{cos ^{6} ( x )} d x

x \to \infty lim (\frac{( 5 + 2 e ^{- 2 x} )}{ln ( x )})

17 - x^{2}

x \to 1 lim (\frac{1}{x})

What is the integral from 1 to 10 of (17)/(x^3) ?
The integral from 1 to 10 of (17)/(x^3) is 1683/200