ANSWERS: 3

sinx

integral of cos(x).dy? the integral will be y cos x

It depends on the relationship between x and y. If x and y are known to be unrelated, then the answer is cos(x) y + C, you just treat cos(x) as a constant. If y = cos(x), for example, then the answer would be cos^(x)/2 + C, I just integrated y wrt y and substituted. In general, if dy/dx = h(x) then the integral of cos(x) dy = the integral of cos(x) h(x) dx
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