Find the area of the following regions, expressing your results in terms of the positive integer n ≥ 2. the region bounded by f(x)=x and g(x)=x^1/n, for x≥0

The area of the searched region is

Step-by-step explanation:

If you want to find the area of a region bounded by functions f(x) and G(x) between two limits (a,b), you have to do a double integral. you must first know which of the functions is greater than the other for the entire domain.

In this case, for 0<x<1, f(x)<g(x)

while for 1<x, g(x)<f(x).

Therefore if our domain is all real numbers superior to 0 (where the limit 0<a<1 and 1<b), we have to do 2 integrals:

A=A(a<x<1)+A(1<x<b)

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step-by-step explanation:

you bought 31 v bucks

step-by-step explanation:

25+6=31