Find the integrals of the functions ex(sin x + cos x)

1.	Find the integrals of the functions ex(sin x + cos x)
Answer» ∫e^x (sin x + cosx) dx put f(x) = sin x f’(x) = cos x = ∫e^x (f(x) + f’(x)) dx = e^xf'(x) + C =∫e^x (sinx + cosx) dx = e^x sin x + C

Answer»

∫e^x (sin x + cosx) dx

put f(x) = sin x

f’(x) = cos x

= ∫e^x (f(x) + f’(x)) dx

= e^xf'(x) + C

=∫e^x (sinx + cosx) dx

= e^x sin x + C

Discussion