integration sinh² x cosh³x dx
Answers
Answered by
0
Step-by-step explanation:
Use definition of sinh.
sinh x =
ex - e-x
2
(integral) sinh x dx = (integral)
ex - ex
2
dx
= (1/2) (integral) ex dx - (1/2) (integral) ex dx
solve left equation
= (1/2) ex - (1/2) (integral) ex dx
set
u = - x
then we find
du = - dx
substitute du= - dx, u= - x
= (1/2) ex + (1/2) (integral) - ex dx
= (1/2) ex + (1/2) (integral) eu du
solve the right integral
= (1/2) ex + (1/2) eu + C
substitute back u= - x
= (1/2) ex + (1/2) ex + C
=
ex + ex
2
+ C
which by definition
= cosh x + C
Answered by
0
Answer:
I am Very Sorry, I don't know
Similar questions