Question

F"(x) = 4x + sin(x)
Find F(x)

I came up with ( (2x^3)/(3) ) - sin(x) + C + D
Can someone tell me if this is correct? I'll give a medal! :)

Answer 1

first integration gives

4x^2/2 - cos x + c

= 2x^2 - cos x + c

second integration;
2x^3 / 3 - sin x + C


there's no need to write 2 constants of integration

Answer 2

Hm, turns out it should have Cx + D. So it's wrong :(

Answer 3

2x^3 / 3 +sin x +c