Bucket's Questions

[Mao]

the equation of a tangent is given by the generic equation


at



since it passes through the origin, (0,0), substituting:






antidifferentiating gives

[Glockmeister]

The equation you have there is the gradient equation for a particular curve, y. With this particular curve, we are told that at , its tangent will intercept the origin. So:




Now, since we know that



...

Mao! Stop beating me to things.

[bucket]

thankyou my darlings.

[bucket]

help

[Toothpaste]

help

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[bucket]

thanksssssss

[Collin Li]

You can anti-differentiate term by term (like differentiation)

How do you integrate ? Or for that matter? Then, .

[Toothpaste]

continuee....i got THAT far
eulers constant confuses me >.<

done

[Mao]

help

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you could've done it using hyperbolic functions with MUEP/UMEP knowledge

[bucket]

 :buck2:

[Toothpaste]

 :buck2:

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[bucket]

ahh i see, so the only way to solve this is to expand the polynomial?

[Mao]

ahh i see, so the only way to solve this is to expand the polynomial?

you *could* use linear substitution, but that's beyond the scope of the methods course, and that use of this method for this particularly simple case would be superfluous

the easiest way is to expand the polynomial.

[Ahmad]

That's one way to do it, but there are surely others, a relatively fast way I thought of for the curious:



Make the substitution,




Where B(m,n) is the Beta function

[dcc]

That's one way to do it, but there are surely others, a relatively fast way I thought of for the curious:



Make the substitution,




Where B(m,n) is the Beta function

Most wouldn't consider it necessary to use the Beta function to integrate a polynomial   But then again you are Ahmad