Question

Evaluate Integral F*dr along the curve C

Answer 1

\(\large F(x,y)=x^2i+xyj\)
\(\large C:r(t)=2costi+2sintj;~~(0\le t\le\pi)\)

Answer 2

x=2cost
y=2sint?

Answer 3

WAIT I GOT IT NOW lol

Answer 4

yeah you may use that parameterization

Answer 5

(\(2cost)^2i+(2cost)^2(2sint)^2j\)

Answer 6

\(F•dr=(2cost)^2i+(2cost)^2(2sint)^2j)•(2costi+2sintj)\)

Answer 7

\(\large F(x,y)=x^2i+xyj\)

right ?

Answer 8

\(F•dr=(2cost)^2i+(2cost)(2sint)j)•(2costi+2sintj)\)

Answer 9

why are you squaring the j component

Answer 10

Yes my bad