I have the answer but how exactly does y=2? By isolating y i got y=1/4 but i cant understand the 2. Thank you
Compute the integral of x, y) = (In 4y)-1 over the domain D. (Round your answer to three decimal places.) D: bounded by 4y=ex and 4y=evx (in 4y)-1 dA = 0.180 0.180 Solution or Explanation The region D is bounded by the curves 4y = ex, 4y = eV x, y = , and y = 2 4 To express D as a horizontally simple region, we first must rewrite the equations of the curves 4y ex and 4y = eV x with x as a function of y. That is We obtain the following inequalities 4 We compute the double integral of f(x, y) - (In 4y)-1 over D as the following iterated integral: (In 4y)-1 dA (In 4y)-1 dx dy /4 in2(4y) In(4y) (ln 4y)-1x dy x-In2(4y) e/4 (1-In 4y) dy