Consider the following indefinite integral: (∫ eˣ cos x ,dx). An application of integration by parts that makes this integral easier to solve will result in an expression of the form:
a) (eˣ sin x - ∫ eˣ sin x ,dx)
b) (eˣ cos x - ∫ eˣ cos x ,dx)
c) (1/2 e²ˣ cos x - 1/2 ∫ e²ˣ cos x ,dx)
d) (1/2 e²ˣ sin x - 1/2 ∫ e²ˣ sin x ,dx)