The price P, of a pizza varies directly as the square root of its radius, R. If the price is $12.50 for a pizza with a 6 inch ra
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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