?

Free Version

Upgrade subject to access all content

Difficult

Second Type Line Integral on Ellipse

MVCALC-FN7A7O

Calculate the line integral:

$$\oint_C \frac{xdx+ydy}{x^2+y^2}$$

...where $C$ is the oriented ellipse:

$$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a>0, b>0, a\neq b$$

A

$a+b$

B

$a-b$

C

$a^2+b^2$

D

$a^2-b^2$

E

$0$