1. ## Integral of Line

What is integral of line ?
How do I calculate?

Example: C is segment of straight of (0,0) until (0,1). How do I calculate:

$\int_C senxy dy$

2. Originally Posted by Apprentice123
What is integral of line ?

How do I calculate?

Example: C is segment of straight of (0,0) until (0,1). How do I calculate:

$\int_C senxy dy$

What is "sen" ?

3. Sory in english $sin$

4. Just substitute x=0 (y from 0 to 1) into the integral and integrate along the y axis.

5. The answer this integral is 0 ?

And the intregral line

$\int_C 3x^2yzds$
$C: x = t, y = t^2, z = \frac{2}{3}z^3$
$0 \leq t \leq 1$

The answer is $\frac{197}{180}$ ???

6. Originally Posted by Apprentice123
The answer this integral is 0 ?

And the intregral line

$\int_C 3x^2yzds$
$C: x = t, y = t^2, z = \frac{2}{3}z^3$
$0 \leq t \leq 1$

The answer is $\frac{197}{180}$ ???
$z = \frac{2}{3}t^3$ ?
I think the answer is $\frac{13}{20}$

7. The first integral $\int_C sinxy dy$ the answer is 0 ?

And the other integral where you resolved ?

8. [quote=Apprentice123;304717]The first integral $\int_C sinxy dy$ the answer is 0 ? quote]

Yes. Because sinxy=0 on the line x=0.

9. In
$\int_C 3x^2yzds$
$C: x = t, y = t^2, z = \frac{2}{3}t^3$
$0 \leq t \leq 1$

how you found $\frac{13}{20}$ ?