What does ye mean?

[aldrinkleys]

What does ye" mean?

From here:

 

[HallsofIvy]

I rather suspect that was a typo. I suspect that it was something like
$$\int_Q\int (x sin y- y e^x)dx dy$$
instead.

 

[Borek]

Sorry, couldn't help it

 

[Studiot]

Thanks Borek, we need more humour.

 

[aldrinkleys]

I rather suspect that was a typo. I suspect that it was something like
$$\int_Q\int (x sin y- y e^x)dx dy$$
instead.

but, look:

From Calculus II, Apostol, p 360

 

[HallsofIvy]

Yes, and that makes it obvious, does it not, that what was intended was
$$\int_{-1}^1 (x sin(y)- ye^x)dx= \left[\frac{1}{2}x^2sin(y)- ye^x\right]_{-1}^1$$
$$= -ye^{1}+ ye^{-1}= -ey+ \frac{y}{e}$$

 

[aldrinkleys]

Thanks.