Melody

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यूजर का नामMelody
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Melody  11 Feb 2022
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7 Okt 2014
 #2
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Hi Alan and Olie96,

I just put this through Wolfram|Alpaha,

http://www.wolframalpha.com/input/?i=y%3D3.7%5E%280.6x%5E2%29

 

Now it is basically just a flatterned parabola shape. So can you not find an indefinite integral for it?

(a and b are constants of course)     

$$\int a^{bx^2} \;dx$$               

 

I suppose if you want a volume of revolution the relevant indefinite integral would be

 

$$\\\pi\int (a^{bx^2})^2\;dx\\\\
=\pi\int a^{2bx^2}\;dx$$

.
7 Okt 2014
 #2
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7 Okt 2014