Integral
Integral
b
∫ f ′(x) dx = f(b) - f(a)
a
∫ f ′(x) dx = f(b) - f(a)
a
where f ′(x) is the derivative of the function f(x).
Some examples:
| f ′(x) | f(x) |
|---|---|
| c | c x |
| xc (c ≠ -1) | (c+1)-1 xc+1 |
| x-1 | ln( |x| ) |
| ecx | c-1 ecx |
| sin(cx) | -c-1 cos(cx) |
| cos(cx) | c-1 sin(cx) |