Sometimes it looks hard but can be very easy.
| To find the original function that a given function was differentiated from
Remember - when you do reverse differentiation there can be several right answers
Many functions can be differentiated to give the same answer
for example -
differentiate - x2 + 1, x2 - 1 and x2 + 100 and you will see what I mean
They all differentiate to 2x
So we have to use "The Constant of Integration" which is C
so 2x integrates to x2 + C
or as we must now say - The integral is
ʃ2x dx = x2 + C | The Formulas
(note - this formula doesn't work for 1/x (which is x-1) because you would need to divide by 0)
ʃ xn dx = (xn + 1) / (n + 1) + C
In other words - add 1 to the power and divide by the new power, then stick + C on the end
ʃ - this is the integral
and where ʃ has no numbers attached it is call an "indefinite integral"
| Examples
(coming soon)
| L
Q | I
T | D
C
Done !! |
| notes
There are a lot of bits to this - it needs a lot of care to avoid mistakes.
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