# Thread: Final step of Integration problem

1. ## Final step of Integration problem

Hi I have a question about the final step of an indefinite integral,

Integral of [2/{(x-2)^(4/3)}] I have used u substitution and have come up with -3/[(x-2)^(1/3)] + C however I have a solver that tells me that the answer is -6/[(x-2)^(1/3)] + C. I can't seem to find any reason for the change in numerator from 3 to 6. Is there anyone who could help me out? Maybe its something obvious but I just can't see it.

Thanks,
Andre

2. Originally Posted by Green225
Hi I have a question about the final step of an indefinite integral,

Integral of [2/{(x-2)^(4/3)}] I have used u substitution and have come up with -3/[(x-2)^(1/3)] + C however I have a solver that tells me that the answer is -6/[(x-2)^(1/3)] + C. I can't seem to find any reason for the change in numerator from 3 to 6. Is there anyone who could help me out? Maybe its something obvious but I just can't see it.
You can use this webpage to check your work.

You can also differentiate the found answer to see how it all works.

3. What became of the 2 in the numerator? When you do that u substitution, you have to do something with the 2 in the numerator. It doesn't disappear.
God once dropped a 2 from the numerator in an integration. The result was the creation of black holes.

4. Originally Posted by fcabanski
What became of the 2 in the numerator? When you do that u substitution, you have to do something with the 2 in the numerator. It doesn't disappear.
God once dropped a 2 from the numerator in an integration. The result was the creation of black holes.
The 2 in the numerator is just a constant. It's as if you are taking the integral, finding the result, and then multiplying the answer by 2. So if you take your answer that you dot and not multiply it by 2, you get the correct answer.

Capiche?