∫ tan(x) dx = -ln(cos(x)) + C
C is the constant of integration.
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if you are integrating with respect to x, the indefinite integral of 1 is just x
d/dx ∫ f(x) dx = f(x)
With respect to x, this integral is (-15/2) cos2x + C.
multiply the number times x. For example, the integral of 3 is 3x.
∫ af(x) dx = a ∫ f(x) dx