You are Here: Home >< Maths

# Integration watch

1. I've been stuck on this question for a while now, would appreciate it if anyone can help me on the following integral.
Evaluate with
I'm supposed to use a substitution of but I don't know why.
2. If you have a fraction with trig in the denominator, this substitution is often the way to go.

I can send you a Powerpoint on the topic if you pm me with an email address.
3. What are the a's?
4. (Original post by limetang)
What are the a's?
The a's are constants that are greater than 1/2.
5. (Original post by JBKProductions)
The a's are constants that are greater than 1/2.
Okay I was just wondering whether or not they were a variable that was greater than a half. Which would probably make this very difficult to solve.
6. (Original post by limetang)
Okay I was just wondering whether or not they were a variable that was greater than a half. Which would probably make this very difficult to solve.
Hmmm...it doesn't actually say a is a constant but just a > 1/2 so i assumed it was....I doubt it would be a variable anyway but not too sure now.
7. (Original post by JBKProductions)
I've been stuck on this question for a while now, would appreciate it if anyone can help me on the following integral.
Evaluate with
I'm supposed to use a substitution of but I don't know why.
If you haven't received Mr M's powerpoint yet, try to manipulate to find an expression for and in terms of t and then just carry out the substitution like any other you would do (don't forget to change your limits).

Hint for finding - Notice that , therefore .
8. Thanks.
9. Just another question. If I have an integral that has trig in the denominator that isn't the standard arcsin, arccos or arctan integrals. Would the substitution of always work?
10. Which module is this from? Looks a bit harder than C4, which is all the core I've done to date. Teaching myself FP2 and FP3 is going to be a blast next year. >.<
11. (Original post by Jack-)
Which module is this from? Looks a bit harder than C4, which is all the core I've done to date. Teaching myself FP2 and FP3 is going to be a blast next year. >.<
I'm a first year undergraduate and this is one of my practice questions. Although this is probably in further maths but I have no idea which module it will be in. Sorry.
12. (Original post by Jack-)
Which module is this from? Looks a bit harder than C4, which is all the core I've done to date. Teaching myself FP2 and FP3 is going to be a blast next year. >.<
I did this at FP2 but I'm also doing it in my maths module of engineering at the moment.
13. (Original post by JBKProductions)
I'm a first year undergraduate and this is one of my practice questions. Although this is probably in further maths but I have no idea which module it will be in. Sorry.
Ah I see.
(Original post by Kasc)
I did this at FP2 but I'm also doing it in my maths module of engineering at the moment.
Ah so its in FP2 then, thanks.

How is maths at university in comparison to A levels (or anything equal)?
14. I'm not doing maths, and I'm only in my first year.

It's basically A Level theory applied to more difficult problems and a hint of further maths.

I imagine a maths degree would cover what I'm doing in one module only.
15. (Original post by Jack-)
Ah I see.

Ah so its in FP2 then, thanks.

How is maths at university in comparison to A levels (or anything equal)?
I find maths at university a lot harder than A levels, some lecturer's go really quick with the work and it's hard to keep up with it. The amount of work we get is a lot in comparison to a levels, we have loads of assessed and unassessed coursework. It's very independent, which is why I find it so much harder. I miss being spoon-fed.
16. Independent you say? Personally I'm really looking forward to that side of university, but maybe thats just because I dont know exactly how it will be!
17. You may like it. Some do some don't, I know I don't. But I do like the holidays, we get so much time off!

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: April 14, 2011
Today on TSR

How do you think you'll do?

### University open days

Wed, 25 Jul '18
2. University of Buckingham
Wed, 25 Jul '18
3. Bournemouth University
Wed, 1 Aug '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams