?

Multivariable Calculus

Free Version

Upgrade subject to access all content

Difficult

Second Type Line Integral with Absolute Value Function

MVCALC-5N1CXL

Calculate the following line integral:

$$\int_C \frac{dx+dy}{|x|+|y|}$$

...where $C$ consists of two segments connecting $A(0,-1)$ through $B(1,0)$ to $C(0,1)$.

A

$0$

B

$2$

C

$-2$

D

$1$

E

$-1$