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 ln(2x+1) proof on HP Calculator
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ln(2x+1) proof on HP Calculator
11152016 07:00 PM
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:
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
Solved! Go to Solution.
11162016 05:04 AM  edited 11162016 05:16 AM
Hi!, @Athanasios:
See, the image of Wolfram Alpha, with alternate form, is same, but change, the order, if you simplify in the HP PRIME.
Have a nice day !.
@Maké (Technical Advisor Premium  HP Program Top Contributor).
Provost in HP Spanish Public Forum ... https://h30467.www3.hp.com/
11172016 05:46 AM
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=C21/2.
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