# Is this a typo? - Integral of fraction

1. Jan 2, 2015

### anthonyk2013

Part (1) of this question posted in post 3. Is it a type-o or correct. Not looking for solution.

Last edited: Jan 2, 2015
2. Jan 2, 2015

### Doug Huffman

Yes, it appears to be so, from what I can see.

3. Jan 2, 2015

4. Jan 2, 2015

### anthonyk2013

Forgot the image

5. Jan 2, 2015

### DarthMatter

What is a type-o? Or do you think it is a typo? Then type-o probably is a typo.
The integrals look ok so far.

6. Jan 2, 2015

### DarthMatter

Hint for part i): Try to rearrange $6x^2-5x+3$ into some polynome your can divide by $12x-5$ plus a constant.

7. Jan 2, 2015

### anthonyk2013

Ya I differentiated the top and you get 12x-5 all over 12x-5.

8. Jan 2, 2015

### DarthMatter

Ah I see. Could be a typo. But this integral should be solvable as well.

9. Jan 2, 2015

### anthonyk2013

Part 1&2 only worth 4% on exam paper. Seem like a but of work for 2%

10. Jan 2, 2015

### DarthMatter

Private theories are not allowed in this forum. :D But don't worry here. Sorry, I can only look at the math.

11. Jan 2, 2015

### Staff: Mentor

Anthonyk, why would you think the problem has a typo? This is an easy integral - just divide the numerator by the denominator.

12. Jan 2, 2015

### anthonyk2013

Lecturer thinks it is because of the low mark. Looking back a previous exam papers made an assumption. If We are wrong I hold my hand up.

13. Jan 2, 2015

### anthonyk2013

That's are far as I got I had x-1.

14. Jan 2, 2015

### Staff: Mentor

Last edited: Jan 2, 2015
15. Jan 2, 2015

### anthonyk2013

Ya silly mistake by me.

16. Apr 3, 2015

### anthonyk2013

Wondering the the solution the this question is right or wrong ?
Thanks

17. Apr 3, 2015

### Staff: Mentor

What happened in (4)? The denominators vanished?
Also, what happens if you differentiate your result? Do you get the initial fraction? This is often a very easy check you can always do if you are unsure.

The whole substitution is not helpful here. Posts 6 and 11 show the best approach.

18. Apr 4, 2015

### anthonyk2013

This solution is from class. We were given a reason why that were moved but I can remember.
When studying on my own I divided the polynomial but the devision didn't look right. I'll attempt it again and post later. Thanks.

19. Apr 4, 2015

### anthonyk2013

20. Apr 4, 2015

### Staff: Mentor

Looks right so far.