# Tagged Questions

1answer
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### Finding a mistake in the computation of a double integral in polar coordinates

I have to find $P\left(4\left(x-45\right)^2+100\left(y-20\right)^2\leq 2 \right)$ $f(x)$ and $f(y)$ are given, which I will use in my solution below . ...
2answers
41 views

### how do we interpret this integral from polar co-ordinates

$$\text{Find } \int_C rdr$$ Where $C$ is any closed loop. I feel that the answer is zero, i have no hard reasoning. Here $r$ is the parameter from the polar coordinates.
1answer
66 views

### approximate this fancy looking double integral

$$\int_{0}^{2\pi} \int_{0}^{1}r^5\sin^22\theta\left(1-r^2 \right)^2\sqrt{1+\left(1+ \cos^2\theta \right)36r^2 }\hspace{1mm}drd\theta$$ I tried integrating myself, spent many hours but could not ...
1answer
33 views

### Computing the enclosed area formed by a curve

Given the following curve: ${(\frac{x^2}{a^2}+\frac{y^2}{b^2})}^2=\frac{x^2}{a^2}-\frac{y^2}{b^2}$, $a,b>0$ Find the space enclosed by it. Now, obviously (I think) the idea is to ...
0answers
28 views