Indefinite Integrals
12-09-2019, 06:35 AM
Post: #1
 dalukner Junior Member Posts: 2 Joined: Dec 2017
Indefinite Integrals
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?

12-09-2019, 12:57 PM
Post: #2
 Stevetuc Member Posts: 242 Joined: Jan 2014
RE: Indefinite Integrals
(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)

12-09-2019, 01:19 PM
Post: #3
 Aries Member Posts: 157 Joined: Oct 2014
RE: Indefinite Integrals
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
12-09-2019, 06:24 PM
Post: #4
 dalukner Junior Member Posts: 2 Joined: Dec 2017
RE: Indefinite Integrals
(12-09-2019 01:19 PM)Aries Wrote:  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).
Oops 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.
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