2007-09-25 04:38:43 · 4 answers · asked by student 1 in Science & Mathematics ➔ Mathematics
Sorry, this cannot be done in terms of elementary
functions. In general, the antiderivative of
a 3rd or 4th degree polynomial to a fractional power
is not elementary.
The Wolfram Integrator returned a solution
in terms of hypergeometric functions.
2007-09-25 05:04:22 · answer #1 · answered by steiner1745 7 · 0⤊ 0⤋
it is really a tougtest sum i lost i 1 hour in solving this if u get the ans pls mail me plz
2007-09-25 04:57:57 · answer #2 · answered by amal 2 · 0⤊ 0⤋
the answer i get is:
[ (1+x^4)^(3/4) ] / (3x^3)
start by substituting
u=1+x^4
du=4x^3dx
du/(4x^3) = dx
int u^-1/4 du/(4x^3)
=(1/(4x^3)) int u^-1/4du
=(1/(4x^3)) (u^3/4)/(3/4)
=(u^(3/4)) / (3x^3)
= [(1+x^4)^(3/4)] / 3x^3
this is what i have so far, i haven't been able to verify it
try to take the derivative of what i get to get the original
answer is tricky as it involves ln
2007-09-25 07:32:54 · answer #3 · answered by A A 3 · 0⤊ 1⤋
i wish i knew how to solve that!
2007-09-25 04:44:32 · answer #4 · answered by K_Dizzle35** Y!A_MoSt HaTed!* 5 · 0⤊ 0⤋