What is the integral from 0 to 5 of w/(w-2) ?

The integral from 0 to 5 of w/(w-2) is diverges

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integral from 0 to 5 of w/(w-2)

\int_{0}^{5} \frac{w}{w - 2} d w

diverges

Solution steps

\int_{0}^{5} \frac{w}{w - 2} d w

Find undefined (singularity) points:

w = 2

If exist

b, a < b < c, f (b) =

undefined

, \int_{a}^{c} f (x) d x = \int_{a}^{b} f (x) d x + \int_{b}^{c} f (x) d x

= \int_{0}^{2} \frac{w}{w - 2} d w + \int_{2}^{5} \frac{w}{w - 2} d w

\int_{0}^{2} \frac{w}{w - 2} d w =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

x \to 0 lim (3 x cos (x))

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\frac{d}{d x} (\frac{1 + e ^{x}}{1 - e ^{x}})

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\int e^{4 s i n (x)} cos (x) d x

What is the integral from 0 to 5 of w/(w-2) ?
The integral from 0 to 5 of w/(w-2) is diverges