Posted by Elyse on Thursday, June 6, 2013 at 3:10pm.
Use Green's theorem to evaluate the integral:
y^(2)dx+xy dy
where C is the boundary of the region lying between the graphs of y=0,
y=sqrt(x), and x=9

Calculus  kuai, Thursday, June 6, 2013 at 6:47pm
P = y^2
Q = xy
ç[0,9]ç[0(ãx)](ÝQ/ÝxÝp/Ýy)dy dx
ç[0, 9]ç[0, ãx ](y2y)dy dx
ç[0,9]ç[0, ãx](y)dy dx
ç[0,9]x/2 dx
=(x^2)/4 [0, 9] = (81)/4
Answer This Question
Related Questions
 Calculus  Use Green's theorem to evaluate the integral: y^(2)dx+xy dy where C ...
 Calculus  Use Green's theorem to evaluate the integral: y^(2)dx+xy dy where C ...
 Math  Hi, I need urgent help with these 3 integrals problems ... been stuck on ...
 Calculus check  The functions f and g are given by f(x)=sqrt(x^3) and g(x)=16...
 calculus  a) Let f(z) = z^2 and γ(t) = 1 + it^3, t ∈ [0,1]. i) Write...
 calc  use green's theorem to evaluate the integral of x^2dy where C is the ...
 Calculus  Find the volume of the solid whose base is the region in the xyplane...
 Calculus  Use the shell method to set up, but do not evaluate, an integral ...
 Multivariable Calculus  Green's Theorem  Compute the line integral of F = <...
 calculus  1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x...
More Related Questions