- #1
Alexstrasza
- 15
- 0
Homework Statement
I have a linear integral (e^xsiny-2)dx + (e^xcosy+x^2)dy
y≥0
2x=x^2+y^2
I used Green's theorem and got:
∬ (e^xcosy+2x) - (e^xcosy) dy dx
x bounds: from 0 to 2
y bounds: from 0 to sqrt(2x-x^2)
After solving all that stuff I get to:
∫ (2x) (sqrt(2x-x^2)) dx
x bounds: 0 to 2
I don't know how to calculate ∫ (2x) (sqrt(2x-x^2)) dx, I thought maybe I can turn the 2x into a derivative of 2x-x^2 but then I need to add +2 to the 2x and not sure if it is allowed?
I used an online integral calculator and it solved (answer: pi?) but the way of the solution was very very long so I think there must be an easier way to solve this (it is a test question).
Help please! ❀
Homework Equations
Calc II