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You guys have been awesome so far, lets see if we can keep up the record with one more problem; a) Write down an expression for sin 3x in terms of sin x. b) Hence find 0∫pi/6 sin3x dx.

Bingo! Could I have a look at your working please? I'm really stuck on this one.

I thought I had this problem figured, but my answer is way off. I don't suppose someone could walk me through this one too? Evaluate 0∫4√3 dt / (16 + t2)3/2 using the substitution t = 4tanӨ.

Yup, that's correct. Thanks muchly. :)

Here we go again; Evaluate 50∫(25 - x2)1/2 dx using the substitution x = 5 sin u.

Awesome, thanks. :)

Gots me some more problems of the mathematical kind. Lets see who can dig me out of this hole; Find ∫e tan x sec2x dx using the substitution u = tan x

Got it, thanks.

Hmm... I've run in to problems with a similar question... Could someone run this one past me as well? Here it is; A store offers a hire-purchase loan on a lounge suite costing $5000. If you pay $200 deposit, the loan on the balance is paid over 3 years, at 18.5% p.a. interest. You do not have...

Ack! I figured out why I couldn't get the answer for the question! For some bizzare reason I was calculating the interest at 12% p.a., not 18%... Man, I feel so stupid right now... :rolleyes: Thanks for your help Trebla!

I could never really get my head around these problems in class, and now I'm stuck on one the questions in my textbook... I was hoping someone here could help me out by going through the question step-by-step. Here's the question; A farmer borrows $50000 for farm machinery at 18% p.a. over 5...

Speaking of which... I've got me another problem; Find the equation of the tangent to the curve y = sin(pi - x) at the point (pi/6, 1/2), in exact form. I'm fairly familiar with this type of question, but I'm a little shaky on exactly how to differentiate equation, and exactly how the result...

Thanks guys, it makes more sense now. And I'll keep that in mind, me121, in case I have any further questions. Thanks. :)

I've got yet another maths problem that I'm stuck on. Lets see if you guys can help me out of this one, although I'm sure it's a pretty simple question. Here it is; Find the derivative of 3 cos^3 5x And that's not cos to the power of 35x, if anyone was wondering.

Damn, stuck again. Here's the problem; Solve 2^(2x +1) - 5 x 2^x + 2 = 0 I can see it's an equation reducible to a quadratic, the problem is the form it's in...

Yes! Thank you very very much! I've been puzzling over that first question for ages! EDIT: Got the second one too. Pretty easy once you think about it, I was just being lazy. :)

I gots me a question that I just can't seem to solve. I was hoping someone here could help me out by explaining it to me. So here it is; Find the value of n for which the equation (n + 2)x^2 + 3x - 5 = 0 has one root triple the other. EDIT: And another one; Find the values of p for which x^2...

I made the same mistake the first time I tried to answer the question. The intergral isn't ∫(x + 2)/[√(x + 2)] dx, it's ∫(x - 2)/[√(x + 2)] dx. Sorry. ;)

I've got the basics of 'Intergration Using Substitution' down, but I'm having some trouble with the more complex questions. I was hoping someone might be able to go through one of the questions step-by-step so that I can understand it better. So here's the question; By using the substitution...

I've been fairly lapse on preparing for my major project, and now with the beginning of the 2008 school year I'm beginning to pay for it. Though I am in need of an idea, I'm not expecting anyone else to come up with one for me. What I am interested in is how other people have come up with their...