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Athanasios
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Solved!

ln(2x+1) proof on HP Calculator

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HP PRIME

Hi,

 

I am attempting to solve the proof ∫ ln(2x+1)dx using the HP Prime Calculator.

 

When I solve the proof by had my solution is as follows:

{(2x+1)/2} * ln(2x+1) - x + C

 

However, when I use the HP Prime I end up with the following solution:

 

ln(2X+1).jpg

 

There is a constant of -1/2 (highlighed in yellow) which I do not understand.

 

Can someone please explain to me why/how there is a constant value of -1/2 in the calculator derived answer?

 

Thanks,

Athanasios

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Maké
Level 9
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Hi!, @Athanasios:

 

IMG_20161116_090648.jpg

 

See, the image of Wolfram Alpha, with alternate form, is same, but change, the order, if you simplify in the HP PRIME. 

IMG_20161116_085840.jpg

 

Kind Regards !.
Have a nice day !.
@Maké (Technical Advisor Premium - HP Program Top Contributor).
Provost in HP Spanish Public Forum ... https://h30467.www3.hp.com/
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Jan_D
Level 6
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Your own solution is correct and the general solution, but the intergral function without boundaries does not give constants, because these are trivial.

 

So you have to add a constant C2 to it and then you get the same because C=C2-1/2.

 

 

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