integrate these pls.

Question

anonymous · Answer

I tried to solve like 5 equations and I usually got stuck when encountering these things. Pls help

anonymous · Answer

I'll be back. Still have a class. Thank you.. =)

hartnn · Answer

1,2,4 are very easy.

while integrating w.r.t x, treat y as constant

while integrating w.r.t y, treat x as constant.

hartnn · Answer

same applies for all,
i sense uv rule in 3,6.

start posting your attempts,
we'd like to know where you're stuck :)

anonymous · Answer

i hope u would be knowing that $$\int\limits e ^{x} dx = e ^{x} +c$$

anonymous · Answer

so if you ever stuck with questions involving e to the power something... just consider power of "e" as some other variable... differentiate substitute and solve...

anonymous · Answer

as an example your first question : (rest u try and post)$$\int\limits xe ^{xy}dy = \int\limits e ^{t}dt =e ^{t} +c = e ^{xy}+c$$
Here substitution used : t=xy .. so differentiating this wrt to y on both sides, 
dt = xdy

anonymous · Answer

x remain as it is as it is considered constant.

anonymous · Answer

what happened to x?

anonymous · Answer

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