Question

True or False? The units for an integral of a function f(x) are the same as the units for f(x).

Solution

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The units for an integral of a function f(x)f(x) are never same as the units for f(x)f(x)

Let us take an example of displacement which is represent as

x=abv(t)dtx = \int_{a}^{b} v(t) \,dt

And we know that the unit of displacement is meter

But the unit of velocity v(t)v(t) is meter/second

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