What is the integral from 6 to 8 of (44)/((x-6)^3) ?

The integral from 6 to 8 of (44)/((x-6)^3) is diverges

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integral from 6 to 8 of (44)/((x-6)^3)

\int_{6}^{8} \frac{44}{( x - 6 ) ^{3}} d x

diverges

Solution steps

\int_{6}^{8} \frac{44}{( x - 6 ) ^{3}} d x

Take the constant out:

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

= 44 \cdot \int_{6}^{8} \frac{1}{( x - 6 ) ^{3}} d x

Apply u-substitution

: \int_{0}^{2} \frac{1}{u ^{3}} d u

= 44 \cdot \int_{0}^{2} \frac{1}{u ^{3}} d u

Apply the Power Rule

: [- \frac{1}{2 u ^{2}}]_{0}^{2}

= 44 [- \frac{1}{2 u ^{2}}]_{0}^{2}

Compute the boundaries:

diverges

= diverges

\frac{d}{d x} (- \frac{10}{x ^{3}})

\int_{0}^{\frac{π}{4}} sec^{3} (x) d x

y^{^{'}} + y = cos (x)

f (x) = 4 x^{2} + 2 x - 1, at x = 2

\frac{\partial}{\partial z} (\frac{1}{x y ^{2} z})

What is the integral from 6 to 8 of (44)/((x-6)^3) ?
The integral from 6 to 8 of (44)/((x-6)^3) is diverges