Question

If f'(x)= cos x, and f(pi/2)=-2, find f(x).

Answer 1

can you think of what goes in the blank space (inside the square brackets)?

\[\Large \frac{d}{dx}\left[ \ \ \ \ \ \right] = cos(x) \]

Answer 2

take the indefinite integral of cos(x), and then plug in the point into your anti-derivative function to find what your C is.

Answer 3

f'(x) = cos x
f(x) = sin x+C
f(pi/2) =-2
sin pi/2+C =-2
C = -3
f(x) = sin x-3
Source: http://www.mathskey.com/question2answer/