Question

Pat made the substitution  x − 3 = 2sin t in an integral and integrated to obtain...

Pat made the substitution  x − 3 = 2sin t in an integral and integrated to obtain
f(x) dx = 9t − 2 sin t cos t + C .
Complete Pat's integration by doing the back substitution to find the integral as a function of x.

f(x) dx
=  
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