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Indefinite Integrals - dalukner - 12-09-2019 06:35 AM
The calculator gives the antiderivative shown in the first entry. The second entry is the antiderivative form I want. Is there any way to achieve this?
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RE: Indefinite Integrals - Stevetuc - 12-09-2019 12:57 PM
(12-09-2019 06:35 AM)dalukner Wrote: The calculator gives the antiderivative shown in the first entry. The second entry is the antiderivative form I want. Is there any way to achieve this?This should generate the antiderivative result you want
Code:
int(x^(1/3)/x)RE: Indefinite Integrals - Aries - 12-09-2019 01:19 PM
3*x^(4/3), I think you mean
The point here is, x^(1/3) is not the cubic root of x, that is true only for x>=0.
For x<0 the NthRoot function is not equivalent to ^(1/n).
Best,
Aries
RE: Indefinite Integrals - dalukner - 12-09-2019 06:24 PM
(12-09-2019 01:19 PM)Aries Wrote: 3*x^(4/3), I think you meanOops yeah that's what I meant. It was late at night. Is there another way to explain why the calculator does this? I don't fully understand. It makes more complex antiderivatives (and just about everything with fractional exponents) very messy.
The point here is, x^(1/3) is not the cubic root of x, that is true only for x>=0.
For x<0 the NthRoot function is not equivalent to ^(1/n).