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## Homework Statement

Integrate along the line segment from (0,0) to [itex](\pi,-1)[/itex]

The integral

[itex]\int_{(0,1)}^{(\pi,-1)} [y sin(x) dx - (cos(x))]dy[/itex]

## Homework Equations

## The Attempt at a Solution

I have used the parameterization of [itex]x=\pi t [/itex] and [itex]y= 1-2t [/itex]

To get the integral:

[itex]\int_{(0,1)}^{(\pi,-1)} [1-2t sin(\pi t) -(cos(\pi t))]dt[/itex]

But now because it is an integral of variable t I need to change the limits .

I'm not sure if I just have to put the limits of t just from 0 to [itex] \pi [/itex]

I suppose I'm having trouble with getting from the limit of 2 variables (x,y) to a limit of one variable t

Thanks