1.

=-SinQ8) integration w.r.t.xf cos-xdx

Answer»

cos(2x) = cos^2(x) - sin^2(x). We also know the trig identity sin^2(x) + cos^2(x) = 1, so combining these we get the equation cos(2x) = 2cos^2(x) -1.

Now we can rearrange this to give: cos^2(x) = (1+cos(2x))/2.

This eventually gives us an answer of x/2 + sin(2x)/4 +c



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