I am asked to find the area between the two curves below with respect to [0,1]. y = (((x^2)((x^3)+1)^10)/11)+3 and y = (-((x)((x^2)+1)^10)/11)+3 I am having a lot of difficulty finding the integral. Thanks Alex
Last edited by alex.caine; Apr 19th 2010 at 09:41 AM.
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Having you drawn the picture?
Yes I drew it and plugged it into my calculator and it looks like a number that is not countable. I made a mistake with my formulas though in the above post that i will correct.
The formula for integrating the area between two curves is Where f(x) is the top curve and g(x) is the bottom curve. or
Okay, that I know Then you end up with an integral that I do not know how to solve which is my problem... You get the integral of (((x^2)(x^3+1)^10)/11)+(((x)(x^2+1)^10)/11) This is where I am stuck.. Finding the answer to the above integral.
If you can't combine them, break them up into two separate integrals and add the results of both integrals.
Originally Posted by alex.caine Okay, that I know Then you end up with an integral that I do not know how to solve which is my problem... You get the integral of (((x^2)(x^3+1)^10)/11)+(((x)(x^2+1)^10)/11) This is where I am stuck.. Finding the answer to the above integral. Nevermind.
Then, once you have two integrals, use u-sub to simplify your integrals
Could you please inform me what u-sub is
substitution
I do not know the formula for that... If anyone other than dsmith could be of assistance it would be greatly appreciated
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