• anonymous
Evaluate the line integral $\int_c F\cdot dr$ where c is given by $\hat r (t)=t\hat i +sint\hat j +cost \hat k$ $0 \le t le \pi$ and: $\hat r(t)=\hat i +cost \hat j -sint \hat k$ $F(x, y, z)=z\hat i+y \hat j-x\hat k$ x=t y=sint z=cost $\int_0^{\pi}(cost\hat i +sint\hat j-t\hat k)\cdot(\hat i+cos(t) \hat j -sint \hat k)dt$ $\int_0^{\pi}(cost+sintcost+tsint)dt$ $\int_0^{\pi} cost dt+\int_0^{\pi} sintcostdt+\int_0^{\pi}tsintdt$
Mathematics

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