Asked by anon
Evaluate integral e^3x cosh 2x dx.
A.1/2 e^5x + 1/2 e^x + C
B.1/10 e^5x + 1/2e^x + C<<< my answer
C.1/4e^3x + 1/2 x + C
D.1/10 e^5x + 1/5 x + C
A.1/2 e^5x + 1/2 e^x + C
B.1/10 e^5x + 1/2e^x + C<<< my answer
C.1/4e^3x + 1/2 x + C
D.1/10 e^5x + 1/5 x + C
Answers
Answered by
bobpursley
Lets look at b.
d/dx (1/10 e^5x+ 1/2 e^x + C)
1/2 e^5x + 1/2 e^x
1/2 (e^3x (e^2x+e^-2x))
e^3x (e^2x+e-2x)/2
e^3x cosh2x
yep, you are correct.
d/dx (1/10 e^5x+ 1/2 e^x + C)
1/2 e^5x + 1/2 e^x
1/2 (e^3x (e^2x+e^-2x))
e^3x (e^2x+e-2x)/2
e^3x cosh2x
yep, you are correct.