# integration eWatch

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Thread starter 13 years ago
#1
how do you go about integrating y= x^0.5 e^-2x

(from p3 jan 2003_
0
13 years ago
#2
intergration by parts

u = x^0.5
du/dx = 0.5 x ^ -0.5

v = -1/2 * e^-2x
dv/dx = e^-2x

then you use the formula and sub in the values

INT u dv/dx = uv - INT v du/dx

You should be ok from here on but if your not just ask
0
13 years ago
#3
(Original post by ruth_lou)
how do you go about integrating y= x^0.5 e^-2x

(from p3 jan 2003_
I was encountering difficulty integrating that particular function and thought it might be a little hard for them to give you on a P3 paper without telling you a method. Thus, i checked the paper.
It's asking for the volume of a 2pi revolution about the x axis so you're going to want to find INT pi(y^2) dx with limits 1,0.
xe^-4x is then easy to integrate by parts.
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