In the following integrals, change the order of integration, sketch the corresponding regions, and evaluate the integral both ways (a) ∫10∫1x xydydx(b) ∫π/20∫cosθ0 cosθdrdθ(c) ∫10∫2−y1 (x+y)^2 dxdy(d) ∫ba∫ya f(x, y)dxdy∫(express your answer in terms of antiderivatives)

Afitness center has 2 membership plans one has a low dollar sign up fee of 15 dollars and costs 38 dollars per month to join. a second plan has a higher sign up fee of 78 dollars but a lower monthly fee of 31 dollars for what number of days of the month is the coat the same