What is the integral from 1 to 10 of (21)/(x^3) ?

The integral from 1 to 10 of (21)/(x^3) is 2079/200

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integral from 1 to 10 of (21)/(x^3)

\int_{1}^{10} \frac{21}{x ^{3}} d x

\frac{2079}{200}

Decimal Notation

10.395

Solution steps

\int_{1}^{10} \frac{21}{x ^{3}} d x

Take the constant out:

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

= 21 \cdot \int_{1}^{10} \frac{1}{x ^{3}} d x

Apply the Power Rule

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

= 21 [- \frac{1}{2 x ^{2}}]_{1}^{10}

Compute the boundaries:

\frac{99}{200}

= 21 \cdot \frac{99}{200}

Simplify

= \frac{2079}{200}

x \to - 1 lim (\frac{4}{( x + 1 ) ^{2}})

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

x \to 4 - lim (\frac{1}{4 - x})

\frac{11}{( 2 x ^{3} - 5 ) ^{4}}

\int \frac{x ^{5} + 2}{x ^{2} - 1} d x

What is the integral from 1 to 10 of (21)/(x^3) ?
The integral from 1 to 10 of (21)/(x^3) is 2079/200