CALCULUS
posted by Tracy on .
evaluate the integral of
(e^3x)(cosh)(2x)(dx)
A.(1/2)(e^5x)+(1/2)(e^x)+C
B.(1/10)(e^5x)+(1/2)(e^x)+C
C.(1/4)(e^3x)+(1/2)(x)+C
D.(1/10)(e^5x)+(1/5)(x)+C

I did your last one by parts. Try the same trick again.


Use for function
e^(3x)*cosh(2x)
use for variable
x 
(e^3x)(cosh)(2x)(dx)
but cosh 2x = (1/2) (e^2x + e^2x)
so
(1/2) [ e^5x + e^x ] dx
(1/10)e^5x + (1/2)e^x + c
so B
which we already knew from Wolfram