Why does the cos x get removed when integrating this? Help!?
2 Answers
Because of the chain rule
Explanation:
Recall that the chain rule states that for
Do note that in your problem, you must still evaluate the integral at the endpoints mentioned to finish calculating the area.
The area is
Explanation:
Yes, start by finding the anti-derivative. Our bounds of integration will be
#I = int_0^(pi/2) cosxe^(sinx)#
Now let
#I = int_0^1 cosxe^u * (du)/(cosx)#
#I = int_0^1 e^u du#
#I = e^1 - e^0 = e - 1#
The area under the curve is
Hopefully this helps!