...........x
If f(x)= ∫ t dt, then f '(x) =
...........2
x^5 /5 ?
x^3 /3 ?
x^2 /2 ?
2006-11-04 05:26:23 · 5 answers · asked by chris 2 in Science & Mathematics ➔ Mathematics
=(x^2/2) - 2
2006-11-04 05:30:07 · answer #1 · answered by ? 7 · 0⤊ 0⤋
=(x^2/2) - 2
2006-11-04 06:31:49 · answer #2 · answered by J 6 · 0⤊ 0⤋
This is part of the fundamental theorem of calculus.
To get the derivative, simply replace the integrand
by x. The answer is x.
To see this another way,
The integral is x^2/2 -2 and the derivative of this is
simply x.
Another example:
What is the derivative of INT(sin (t)/t, t = 0 .. x)?
Here we cannot evaluate the integral directly,
but the derivative is still sin (x)/x.
2006-11-04 06:45:32 · answer #3 · answered by steiner1745 7 · 0⤊ 0⤋
the circumference is what you %, the diameter is quite like reducing the international in a million/2 and measuring the midsection. the circumference is larger like the fringe. the diameter could be like the area. particularly use pi(r^2) so it would be 3.14(3960^2)
2016-10-15 09:15:40 · answer #4 · answered by cordier 4 · 0⤊ 0⤋
x
2006-11-04 05:34:19 · answer #5 · answered by bergab_hase 3 · 0⤊ 0⤋