1. ## Antiderivative?

Hey guys, just need a little bit of help. I learned about antiderivatives a few days ago and while I followed my teacher's examples I got the wrong answer on a homework question. I was wondering if you could point me in the right direction?

Here's the question: Find the most general antiderivative of the function. Use C for any needed constant. f(x) = 5x1/6 - 6x5/6

So what I did was I took the exponents and added one to them, which gave me 7/6 and 11/6. I then divided these exponents but the coefficient number (ie. 5/(7/6)) and got 30/7 and 36/11

So, it looked like this:

30/7(x)^(7/6) - 36/11(x)^(11/6)

But this isn't right? =\

Thanks for any help!

2. Originally Posted by dark-ryder341
Hey guys, just need a little bit of help. I learned about antiderivatives a few days ago and while I followed my teacher's examples I got the wrong answer on a homework question. I was wondering if you could point me in the right direction?

Here's the question: Find the most general antiderivative of the function. Use C for any needed constant. f(x) = 5x1/6 - 6x5/6

So what I did was I took the exponents and added one to them, which gave me 7/6 and 11/6. I then divided these exponents but the coefficient number (ie. 5/(7/6)) and got 30/7 and 36/11

So, it looked like this:

30/7(x)^(7/6) - 36/11(x)^(11/6)
But this isn't right? =\

Thanks for any help!
$\frac{30}{7}x^{\frac{7}{6}} - \frac{36}{11}x^{\frac{11}{6}} \textcolor{red}{+ C}$

your antiderivative is almost correct ... did you forget the constant of integration ?

3. Ack! That must be it! I totally forgot. Thanks so much!