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Tagged with bounds-of-integration area
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How does one calculate the area of a set?
The set is $M=\{(x,y)\in\mathbb{R}^2:|x|+|y|\leq 1\}$.
Question: How do you calculate the area of $M$? More specific, how do you find the bounds of integration?
Attempt: I tried to solve the ...
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Find $\int_{\left(C\right)}xy{\rm d}x+y^{2}{\rm d}y$ with $\left(C\right)$ bound by $y\geq 0,x^{2}+y^{2}=4\left({\rm clockwise}\right).$
Prob. Find $\int_{\left ( C \right )}xy{\rm d}x+ y^{2}{\rm d}y$ with $\left ( C \right )$ closed by the path $y\geq 0, x^{2}+ y^{2}= 4\left ( {\rm clockwise} \right ).$
My attempt: $\int_{\left ( C \...
user822157
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calculating the area in polar coördinates
I have difficulties calculating the area and setting the right boundaries of the following polar coördinates:
$$r=2(1+cos(\theta) ) $$
Thanks in advance
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Limits of bounded region
While solving a simple problem for finding are of the region bounded by $x=y^2$ and $x=y$. Are the following correct limits?
When $x$ is the outer integration variable
$$\int^1_0\int^\sqrt{x}_xdydx$$...
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