Question

e^3x cos(3x-5) integration​

Answer 1

Answer:

I=∫e3xcos3xdx

Apply integration by parts

∫udv=uv−∫vdu

the trigonometric part will be dv in this case ie cos3xdx=dv

I=31e3xsin3x−∫31sin3x.(3.e3x)dx

Apply integration by parts

I=31e3xsin3x+31e3xcos3x−31∫3e3xcos3xdx=31e3xsin3x+31e3xcos3x−I

since I=∫3e3xcos3xdx

2I=31e3xsin3x+31e3xcos3x

I=

Answer 2

Answer:

Evaporation, the process by which an element or compound transitions from its liquid state to its gaseous state below the temperature at which it boils; in particular, the process by which liquid water enters the atmosphere as water vapour.