1/3ln(sin3x) + C
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.2x^5+x+C
f dx ?? do you mean f df ? int(f df) (1/2)f2 + C --------------
The integral of cot(x)dx is ln|sin(x)| + C
dy/dx = 3 integral = (3x^2)/2
∫e^(-2x) dx Let u = 2x du= 2 dx dx=(1/2) du ∫e^(-2x) dx = (1/2) ∫e^-u du = (1/2) (-e^-u) = -e^-u /2 + C = -e^-(2x) / 2 + C