Question

Evaluate the integral: The parabolic arc y=x^2 from (0,0) to (1,1)

Answer 1

\[\int\limits_{c}^{}(3x+2y)dx+(2x-y)dy\]

Answer 2

How would i determine the t in x and y?

Answer 3

why do you have to

\(y = x^2\)
\(dy = 2x \, dx\)

Answer 4

\[\int\limits_{c}^{}(3x+2x^2)dx+(2x-x^2)2x dx\]

Answer 5

It makes sense from that perspective, but i want to replace everything by t.

Answer 6

@dan815

Answer 7

The book says x=t and y=x^2