If an antiderivative of is and that of is

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

If an antiderivative of

f(x)

e^x

and that of

g(x)

\cos x

, then

\int f(x)\cos x\,dx + \int g(x)e^x\,dx =

(a)

f(x)g(x) + c

(b)

f(x) + g(x) + c

(c)

e^x\cos x + c

(d)

f(x) - g(x) + c