Converting to Polar Coordinates Write the sum of the two iterated integrals as a single iterated integral by converting to polar coordinates. Evaluate the resulting iterated integral. ∫ 0 8 / 13 ∫ 0 3 x / 2 x y d y d x + ∫ 8 / 13 4 ∫ 0 16 − x 2 x y d y d x
Converting to Polar Coordinates Write the sum of the two iterated integrals as a single iterated integral by converting to polar coordinates. Evaluate the resulting iterated integral. ∫ 0 8 / 13 ∫ 0 3 x / 2 x y d y d x + ∫ 8 / 13 4 ∫ 0 16 − x 2 x y d y d x
Converting to Polar Coordinates Write the sum of the two iterated integrals as a single iterated integral by converting to polar coordinates. Evaluate the resulting iterated integral.
∫
0
8
/
13
∫
0
3
x
/
2
x
y
d
y
d
x
+
∫
8
/
13
4
∫
0
16
−
x
2
x
y
d
y
d
x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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