if x sin (surd) x=limit from 0 to x^2 f(t)dt, where f is a continous function, find f(4).

can anybody help me with this?? thank you in advance ^^

Question

if x sin (surd) x=limit from 0 to x^2 f(t)dt, where f is a continous function, find f(4).


can anybody help me with this?? thank you in advance ^^

experimentx · Answer

use latex http://www.codecogs.com/latex/eqneditor.php

experimentx · Answer

build your equation in above site,
post that equation between 
\[ and ]\
]\ <-- is in opposite way

anonymous · Answer

i've been doing it manually... dooh!

anonymous · Answer

owhh,,thank you for the site,,here i attach the equation build,i hope correct^^

experimentx · Answer

what is that II before x in sin??

anonymous · Answer

it's a surd or radical,,^^( i hope i choose coeerect symbol,,sorry)

anonymous · Answer

no!,,sorry!!,,it's a pie

experimentx · Answer

Ah yes ... use second fundamental theorem of calculus

$$ \frac{d}{dx} (x \sin \pi x) = (f(x) - f(0)) \frac {dx^2}{dx}$$

experimentx · Answer

check on it ... i might be wrong ... haven't reviewed it for quite a while

anonymous · Answer

owhh,,thank you so much,,i'll try do do it from here,,if anything i'll ask you again..thank you so much for your effort^_^

experimentx · Answer

Oh ... sorry i was wrong!!
$$\frac{d}{dx} (x \sin \pi x) = f(x) \frac {dx^2}{dx} $$

anonymous · Answer

owh,,experimentX,,here i got the solution,but do not really understand it~
sorry,the image not so clear,i snap with my phone,,

experimentx · Answer

sorry ... my last one was also wrong!! the right one should be 
$$ \frac{d}{dx} (x \sin \pi x) = f(x^2) \frac {dx^2}{dx} $$

experimentx · Answer

can't see your picture

experimentx · Answer

http://www.wolframalpha.com/input/?i=%28differentiate+x*sin%28pi*x%29%29+where+x%3D2 answer should be $ \frac{2pi}4 = \frac{pi}2 $

anonymous · Answer

sorry for the inconvenience,,
owhh,,really?,,thank you so much^^

experimentx · Answer

yw