Zia was driving his truck on the superhighway. His speed was recorded by the motorway camera between 6:00 am to 8:30 am. He cove
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If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show
Let . Compute the inverse:
and we immediately notice that .
So, we can write the given integral as
Splitting up terms and replacing in the first integral, we get