# Integrate sinx

### Integrate sinx

Integrate sinx
Chikis

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Joined: Tue Jan 31, 2012 9:39 am
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### If y^2 - x^2 = 5(y-x)^2, find x:y

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

Chikis

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Joined: Tue Jan 31, 2012 9:39 am
Reputation: 1

### Re: Integrate sinx

Divide by y-x the both sides

Math Tutor

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### Re: Integrate sinx

If y = sinx then dy/dx = cosx

So ∫ cosx dx = sinx + C

leesajohnson

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### Re: Integrate sinx

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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