I did this one in lecture.
Please provide more details about your attempted solution so I can help you.
What are the two functions? Please tell me how you have written the expression y^2 - 5x = 4 as a function of y. That is, when you write it as x = f(y), what is f(y) in this case?
Next, if you write down the expression you are using as your integrand, then I will tell you if/why it's wrong.