cancel
Showing results for
Did you mean:
Level 3
45 19 1 1
Message 1 of 3
868
Flag Post

Solved!

# ln(2x+1) proof on HP Calculator

HP Recommended
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:

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

Tags (1)
2 REPLIES 2
Level 9
3,551 3,490 180 541
Message 2 of 3
Flag Post
HP Recommended

Hi!, @Athanasios:

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

Kind Regards !.
Have a nice day !.
Provost in HP Spanish Public Forum ... https://h30467.www3.hp.com/
Tags (1)
Level 6
305 297 32 76
Message 3 of 3
Flag Post
HP Recommended

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.

† The opinions expressed above are the personal opinions of the authors, not of HP. By using this site, you accept the Terms of Use and Rules of Participation