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Evaluate the iterated integral by converting to polar coordinates. pV 32 – v2 V22 + y2 dx dy
Evaluate the iterated integral by converting to polar coordinates
Evaluate the iterated integral Sa Wa?-? (x2 + y2); dxdy that is given in cartesian coordinates by converting to polar coordinates.
Evaluate the following double integral by converting to polar coordinates. This question requires a graph. 4 V32-x2 3yevz**y* dydx 0 x
2. Sketch the region of integration, and then evaluate the integral by first converting to polar coordinates. 1 V2-x2 (x + y)dydx
Using polar coordinates, evaluate the integral so Som x(x2 + y²) dydx. Be careful to check that the limits of integration you use correspond to the region under consideration.
5.Use polar coordinates system to evaluate: x2 + y2)dydx , R is the region enclosed by 0 <x< 1 and, -x sy sx
12. Convert to polar coordinates and evaluate: 1 LL62 +7) dydx + y2 +
a) Write the iterated integral in rectangular coordinates that gives the surface area of the graph of x + y2 + 2z = 1, R = {(x,y) x² + y² 1} b) Evaluate this integral by changing to polar coordinates.
[7pts] Evaluate the iterated integral. 2 1 2(x + y) dydx 0 x2