Question: .a. Let In = / exp (nx) sin (exp (x) ) dx. By making an appropriate substitution, or otherwise, demon- strate that In = -

 .a. Let In = / exp (nx) sin (exp (x) )

dx. By making an appropriate substitution, or otherwise, demon- strate that In

.a. Let In = / exp (nx) sin (exp (x) ) dx. By making an appropriate substitution, or otherwise, demon- strate that In = - exp ((n - 1)x) cos (exp (x)) + (n - 1) exp ((n - 2)x) sin (exp (x)) - (n - 1)(n -2) In-2. b. Hence, or otherwise, compute / exp (6x) sin (exp (x) ) dx

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