- #1
chrisy2012
- 17
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Homework Statement
Evaluate the line integral over the curve C
[tex]\int_{C}^{}e^xdx[/tex]
where C is the arc of the curve
[tex]x=y^3[/tex]
from (-1,-1) to (1,1)
Homework Equations
[tex]\int_{C}^{}f(x,y)ds=\int_{a}^{b}f(x(t),y(t))\sqrt((\frac{dx}{dt})^2+(\frac{dy}{dt})^2)dt[/tex]
The Attempt at a Solution
I tried parametrizing the curve to y=t and x=t^3
therefore dy/dt = 1 and dx/dt = 3t^2
plug this back into the formula, we get
∫ from -1 to 1 (e^t^3)sqrt(3t^2+1)dt
but this is an insolvable integral, anything I did wrong or is there another way?