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integrate (1-cosx)cosec^2x dx?
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int (1 - cos(x))*csc^2(x) dx
u = 1 - cos(x); du = sin(x) dx; dv = csc^2(x) dx; v = -cot(x)
-cot(x) + cot(x)*cos(x) + int cot(x)*sin(x) dx
-cot(x) + cot(x)*cos(x) + int cos(x) dx
cot(x)*cos(x) + sin(x) - cot(x)