- #1

DryRun

Gold Member

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**Homework Statement**

http://s2.ipicture.ru/uploads/20120204/iuPLuS1l.png

**The attempt at a solution**

[itex]x=t^2-1[/itex] and [itex]y=t^2+1[/itex]

[itex]\frac{dx}{dt}=2t[/itex] and [itex]\frac{dy}{dt}=2t[/itex]

The line integral is of the form: [itex]\int P\,.dx+Q\,.dy[/itex]

So, i use direct substitution:

[tex]\int^1_0 4t^3-2t\sin(t^2-1)+2t\cos(t^2+1)\,.dt[/tex]

Is my method correct? I can't integrate any further, as i tried integration by parts for [itex]t\sin(t^2-1)[/itex]and got stuck.