Evaluate the improper integral.
-$$\int _ { 0 } ^ { 36 } \int _ { 0 } ^ { 100 } \frac { d x d y } { \sqrt { x y } }$$
A) 40
B) 240
C) 24
D) 360

Name: Evaluate the improper integral. -\[\int _ { 0 } ^ { 36 } \int _ { 0 } ^ { 100 } \frac { d x d y } { \sqrt { x y } }\] A) 40 B) 240 C) 24 D) 360
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Question

Quizplus · Accepted Answer

The integral can be separated as $\int_{0}^{36} \frac{1}{\sqrt{y}} \, dy \cdot \int_{0}^{100} \frac{1}{\sqrt{x}} \, dx$. Evaluating these gives $12 \times 20 = 240$.

Evaluate the Improper Integral ∫036∫0100dxdyxy\int _ { 0 } ^ { 36 } \int _ { 0 } ^ { 100 } \frac { d x d y } { \sqrt { x y } }∫036​∫0100​xy​dxdy​

Evaluate the Improper Integral $\int _ { 0 } ^ { 36 } \int _ { 0 } ^ { 100 } \frac { d x d y } { \sqrt { x y } }$