Hi. Because the solution had a picture, I wrote it on piece of paper! Sorry for my bad hand writing.
I'm looking for the steps to solve this kind of questions.
Calculate the integral where D is the region delimited by the following functions and relations:
When I try to solve it, I never find a way to a numeric answer. I always get a big function which I'm sure it's not.
Thank you so much for giving me a hint,
You answer was really helpful, thanks a lot! It helped me visualize the problem. I think I found a way to solve it but I'm not quite sure. I try to follow your solution but I don't know how you build the x^4 equation.
Anyway, I came out with a solution. I'm not so sure about it but I'm posting it if anybody can tell me it's a good or bad reasoning.
Well about building equation. It's simple! If we want to find the coordinates of "point" we should put these two equations equal to each other.
and then we get . I can solve this equation with maple, but I would like to solve it in a classic way! The answers are x=1.767469062 and x=2.263652586. But we only need the first one. I used x=1.77 for simplicity. Then y=0.87.
My answer is "33.83" which is equal to yours, but I solved it on my own at first and then checked it with maple!
To solve the integrals we should use this formula: .