Find f if f '' = sin x
Use C and D to denote arbitrary constants
2007-05-01 07:18:05 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
f''(x) is just the second derivative of the function f(x), so If f''(x) = sin(x), then just integrate twice to get back to f(x).
f'(x) = -cos(x) + C
f(x) = -sin(x) + Cx + D
2007-05-01 07:23:11 · answer #1 · answered by Anonymous · 0⤊ 0⤋
the first integral of sin x is - cos x + C
Integrating that once more leaves us - sin x + Cx + D
2007-05-01 07:24:19 · answer #2 · answered by Paul 2 · 0⤊ 0⤋
f= - sin x + c1 x+ c2
where c1 and c2 are constants
2007-05-01 07:24:59 · answer #3 · answered by Tommy 2 · 0⤊ 0⤋
f = -sin x + D + C
2007-05-01 07:22:43 · answer #4 · answered by Will S 1 · 0⤊ 1⤋
f "(x) = sin x
f ` (x) = - cos x + C
f (x) = - sin x + C x + D
2007-05-01 07:25:21 · answer #5 · answered by Como 7 · 0⤊ 0⤋