Write as an integral in polar coordinates but do not evaluate: ST. 18/x? +y’dydx
(1 point) Using polar coordinates, evaluate the integral ST sin(x2 + x>)dA where Ris the region 1 5x2 + y2 549. 1.080
Evaluate the iterated integral by converting to polar coordinates
Write as an iterated integral in cylindrical coordinates in the order dOdzdr, but do not evaluate: +(x + y²)zdzdxdy
Evaluate the iterated integral by converting to polar coordinates points) | sin(x² + y2)dydx T SHARE Y COMO
Use polar coordinates to evaluate the double integral. Enter an exact form, do not use decimal approximation. SAS. 159e*?-, da, where R is the disk x2 + y2 = 64 nt
3. Draw the region D and evaluate the double integral using polar coordinates. (a) SI x + y dA, x2 + y2 D= {(x, y)| x2 + y2 < 1, x + y > 1} D (b) ſ sin(x2 + y2)dA, D is in the third quadrant enclosed by m2 + y2 = 71, x2 + y2 = 27, y=x, y= V3x.
3. Draw the region D and evaluate the double integral using polar coordinates. dA, D= {(x, y)| x2 + y² <1, x +y > 1} (b) sin(x2 + y2)dA, D is in the third quadrant enclosed by D r? + y2 = 7, x² + y2 = 24, y = 1, y = V3r.
11. Use polar coordinates to evaluate the integral 1,8-2V(+ y2)<dy dx
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.
ST" xydydr Write as a double integral in the order dxdy. Do not evaluate.