Hi, I've been working on this integration problem, but when I upload it to our homework program the computer keeps saying that it's wrong. It's:

So what I did was:

Do you think it's a syntax problem, or am I making an obvious mistake?

Printable View

- January 18th 2009, 09:04 PMDana_ScullyWhat am I doing wrong in this integration problem?
Hi, I've been working on this integration problem, but when I upload it to our homework program the computer keeps saying that it's wrong. It's:

So what I did was:

Do you think it's a syntax problem, or am I making an obvious mistake? - January 18th 2009, 09:10 PMBilbo Baggins
The answer is (9+z^6)^(2/3) /4

You made a mistake. Your substitution is good, but you went astray. After your substitution, simply treat the entity as a polynomial. Raise the exponent by one and divide by the new exponent. Then, resubstitute the original expression back in. Lastly, the sure-fire proof is to differentiate your answer and see that you get the original expression. - January 18th 2009, 09:11 PMProve It
- January 18th 2009, 09:15 PMAryth
The mistake is somewhat obvious, we'll start at this part:

Now, the integral of is:

So, that gives us:

Now we simplify:

And there you go. - January 18th 2009, 09:22 PMDana_Scully
Ah, thank you all so much. There goes me confusing derivation and integration again...not sure what's wrong with my head.