Integrate sinx

Integrate sinx

Postby Chikis » Sun Feb 23, 2014 9:08 am

Integrate sinx
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If y^2 - x^2 = 5(y-x)^2, find x:y

Postby Chikis » Sun Feb 23, 2014 9:09 am

If y^2 - x^2 = 5(y-x)^2, find x:y

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Re: Integrate sinx

Postby Math Tutor » Sun Feb 23, 2014 3:59 pm

Divide by y-x the both sides

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Re: Integrate sinx

Postby leesajohnson » Fri May 13, 2016 3:17 am

If y = sinx then dy/dx = cosx

So ∫ cosx dx = sinx + C

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Re: Integrate sinx

Postby Guest » Sun Jun 23, 2019 2:22 pm

Chikis wrote "If y^2 - x^2 = 5(y-x)^2, find x:y"
First if x= y then y- x and y^2- x^2 are 0 so any value of x= y is a solution.

If y is not equal to 0 then we can divide by y- x to get y+ x= 5, y= 5- x.

All pairs (x, x) and (x, 5- x) satisfy the equation and any solution is one of those two forms.

(What does this have to do with "integrate sinx"?)
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