Question

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

Answer 1

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

Answer 2

http://www.wolframalpha.com/widgets/gallery/view.jsp?id=a86aa57ade541fdb14f856fabd997a5e&sms_ss=googlebuzz&at_xt=4d11ee86a3a10396%252C0

Answer 3

Use for function
e^(3x)*cosh(2x)
use for variable
x

Answer 4

(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