What is the integral from 1 to 10 of (29)/(x^3) ?

The integral from 1 to 10 of (29)/(x^3) is 2871/200

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integral from 1 to 10 of (29)/(x^3)

\int_{1}^{10} \frac{29}{x ^{3}} d x

\frac{2871}{200}

Decimal

14.355

Solution steps

\int_{1}^{10} \frac{29}{x ^{3}} d x

Take the constant out:

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

= 29 \cdot \int_{1}^{10} \frac{1}{x ^{3}} d x

Apply the Power Rule

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

= 29 [- \frac{1}{2 x ^{2}}]_{1}^{10}

Compute the boundaries:

\frac{99}{200}

= 29 \cdot \frac{99}{200}

Simplify

= \frac{2871}{200}

\int (x^{2} + ln (2 x) + e^{- 2 x}) d x

x \to 0 lim (1 - e^{- x})

\int \frac{( a + x )}{( a - x )} d x

x \to - 10 lim (x^{2} - 11 x + 10)

y = 2 x - 8

What is the integral from 1 to 10 of (29)/(x^3) ?
The integral from 1 to 10 of (29)/(x^3) is 2871/200