Five less than twice a number is equal to one half the difference of three times the number and 13.
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Given the integral
first substitute y = 3x and dy = 3 dx :
then rewrite tan(y) = sin(y)/cos(y) and substitute z = cos(y) and dz = -sin(y) dy :
Recall that 1/z is the derivative of ln|z|. Then back-substitute to get the result in terms of x :