1. ## Integral line 2

Calculate integral line, where $F(x,y,z)=ysinz$ and $c$ is the circular helix parameterized by $r(t)=(cost,sint,t)$, $0 \leq t \leq 2 \pi$

2. Originally Posted by Apprentice123
Calculate integral line, where $F(x,y,z)=ysinz$ and $c$ is the circular helix parameterized by $r(t)=(cost,sint,t)$, $0 \leq t \leq 2 \pi$

Just use the formula:
$\int_0^{2\pi} F(r(t))\cdot r'(t)dt$

3. $F(r(t))$ ??

4. Originally Posted by Apprentice123
Calculate integral line, where $F(x,y,z)=ysinz$ and $c$ is the circular helix parameterized by $r(t)=(cost,sint,t)$, $0 \leq t \leq 2 \pi$

$\int_{0}^{2\pi}t\sin(t)\sqrt{(-\sin(t))^2+(\cos(t))^2+1^2}dt=\sqrt{2}\int_{0}^{2 \pi } t\sin(t)dt$