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OpenStudy (lgbasallote):
when is:
\[\Large \frac {\text d} {\text d x} [\int f(x) dx] \ne \int [\frac {\text d}{\text d x} f(x) ]\]
OpenStudy (anonymous):
im thinking something with logs? im tired..
OpenStudy (anonymous):
Shouldn't they always be equal? (Not counting the extraneous constant, if you count that, then they're never equal)
OpenStudy (lgbasallote):
it's easier than you think lol
mathslover (mathslover):
when f(x) is constant
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OpenStudy (anonymous):
\[
f(x)=c, c\in\mathbb{C}
\]
mathslover (mathslover):
right when f(x) is constant is right.... lgba hence solved
mathslover (mathslover):
\[\huge{\color{blue}{f(x) = c , \textbf{c denotes constant }}}\]
OpenStudy (lgbasallote):
hah nice. that just proves he who knows not much thinks the simplest
mathslover (mathslover):
:P well nice way of proof ... haha I thought of some heard at first but I just noticed easy riddle..
thought of some easier and got this
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mathslover (mathslover):
Actually as u know
integration of 0 will give integration constant (C)
while
differentiation of (cx + C) will give c
so, c not equal to C you get ur case