can somebody help me integrate (3+x)e^(-x)???i need as soon as possible
just multiply it out and work it in pieces
eiterh way youll have to play with integration by parts for a little bit
say, u = 3+x ; du = dx u-3 = x integrate u e^(u-3) du
i forgot that negative in your exponent u e^(3-u) du
that still has a by parts in it, so either way you go your gonna have to get your hands dirty
so if my answer is [e^{-x} +xe^{-x} + c \] is wrong?
dunno, i would have to see how you worked it out
im sure theres a 3 in there someplace thats missing
i good dbl chk is to take the derivative of what youve got and see if it becomes the stuff you had to begin with
[e^{-x} +xe^{-x} + c ]' = -e^(-x) - x e^(-x); and that dont equal 3e^(-x) + xe^(-x)
u know some links that shows the similar example?i need to find out this answer quick
i forgot to do a product on the middle, but still
you can find it out real quick by running thru it right now, its simple enough
i dunno how =(
how did you get what you posted?
i use u=3+x,,differentiate got 1,and for the v,i integrate e^(-x),got -e^(-x) then (3+x) multiply with e^(-x)
e^-x (3+x) -e^-x -1 e^-x -e^-x(3+x-1) = -e^-x (2+x) + c id forget the usub stuff; it doesnt make the integrating simpler for this one
that there is a table method that follows the integration by parts
another way to write the answer would be: -2e^-x -x e^-x + c
im off as well, musta typoed something
i'm still in confuse right now,,do i have to use certain formua for this kind of integration?
-e^-x(3+x-1) = -e^-x (2+x) + c ^ there it is, needs to be + -e^-x(3+x+1) = -e^-x (4+x) + c
its just integration by parts
i see what you did in yours, you did by parts and i read it as a usub
ooo i think i should improve more on my math skills like you
u = 3+x v = -e^-x du = dx dv = e^-x dx \[\int udv=uv-\int vdu\] \[\int (3+x)e^{-x}dx=-(3+x)e^{-x}-\int -e^{-x}dx\] \[\int (3+x)e^{-x}dx=-(3+x)e^{-x}-e^{-x}+c\]
so, your concept was onteh right track, you just need to hone your skills ;)
he2,,so that's the final answer?you got it right? =D
http://www.wolframalpha.com/input/?i=derivative+-4e%5E-x+-x+e%5E-x the wolf likes it
simplify as wanted
the wolf needs to help 'chickens' like me more
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