Question

integral of
e^x (sinx +cosx)

Answer 1

on twidlla

Answer 2

Same thing you asked before, factorize it will give e^x * sinx + e^x * cosx . Think, what could have been the primitive of that? If you look again at the product rule, you see the same thing as before:

e^x * sinx

Answer 3

Because the product rule to form derivatives is (u,v)' = u' * v + v' * u

Answer 4

Use that you receive before if integral of e^x(f(x)+f'(x)) = e^xf(x)+C, then integral of e^x (sinx +cosx)=e^xsinx+c

Answer 5

(you can use it because (sinx)'=cosx