Let R be the region in the first quadrant that is bounded above by the polar curve r=4cosθ and below by the line θ=1, as shown in the figure above. What is the area of R ?

Answerinterviewing there is no image showing, but i believe this is correct/// plz check first.good luck

The answer is    (d) 7/2======we have    we also  have an integral      notice how function f splits up at x = 0. there's a left piece and a right pieceso we'll need to do the same thing with our integral: split it at x = 0we use a property of integrals that allows us to split up and sum:     notice that for the piecewise function f, the function has the equationf(x) = x when x  ≤ 0. so for the integral  , f(x) = x so it changes into      for the piecewise function f, the function has the equationf(x) = x+1  when x  > 0. for the integral  , we have    therefore, back to our splitted integral:    

Ithink it is trying to persuade people to become a financial planers