Take the antiderivative of e^(pix^2) from the interval negative infinity to positive infinity. REMEBER: SOLVE THE INTEGRAL NOT ANTIDIFFERTIATE IT. YOU CAN REASON THIS OUT WITHOUT ANY ACTUAL CALCULATION.
2006-11-04 10:29:30 · 3 answers · asked by petswodahs 1 in Science & Mathematics ➔ Mathematics
the integral diverges,
since lim x->+-infinity e^(pix^2) = infinity
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2006-11-04 15:14:03 · answer #1 · answered by Anonymous · 0⤊ 1⤋
The integral doesn't converge because lim (x->+/-infinity) e^(pix^2) = infinity. I think you wanted to integrate e^[-pix^2] (note the negative sign)....
2006-11-04 18:38:39 · answer #2 · answered by heartsensei 4 · 0⤊ 0⤋
The function is symmetrical around the y axis, so is its integral zero, with the negative area cancelling out the positive answer?
2006-11-04 19:08:03 · answer #3 · answered by fcas80 7 · 0⤊ 2⤋