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but they will specify the method you have to use. of course shells is easier and the integration is ususally nicer but if they ask to do it by slicing in the hsc, you have to do it by slicing. sorry :)

cos terry lee is sometimes wrong, can't help thaqt.he's not perfect.

got a Q from patel. the base of a solid is x^2 + y^2 = 8x and every plane section perpendicular to the x-axis is a rectangle whose height is one third of the distance of the plane of the section from the origin. Show that the volume of the solid is 64pi/3.

tutor worksheets

had another quick query, pi/6 ∫ln(tanx + Sqrt(3)) dx 0 i think u use f(x) = f(a-x) to do it but i neek working pls.

some one must have seen this integral b4. pi/4 ∫ e^x/(1+e^x)cos^2x dx -pi/4

i was told on the full Q to use sum to products! really hard that way.

evaluate integral from 0 to pi/2) of cos4x-cos10x)/sinx dx

Re: integrate this slut just do this split the integral into 2 parts to get 1- 1/Sqrt(x^2-1) and then u use standard integral 1/Sqrt(x^2+1) = ln (x+Sqrt(x^2+1)) that's it

i can see statistics being like actuarial studies with the stats and finance etc. but i love conics

can someone explain how to integrate xarcsinx?

ye tru. there's no way any school could have finished chem monitoring and management in 2 terms.

nearly every science dot point wouldve been asked in the last 6-7 yrs so (usually long response); so grab a copy of hsc success one and go through relevant Qs. help if you don;t know whatto include in an answer or dotpoint. otherwise check out hsc online.

english - 15/15 (= 1st) maths ext. 1 - 57/60 (=3rd) maths ext. 2 - 63/65 (=2nd) chemistry - 18/26 (21st) pd/h/pe - 19/20 (=2nd) felt really good except for chem :(

got a Q from the CCHSC booklet A solution was thought to contain either lead nitrate or calcium nitrate. Samples of the solution gave white precipitates with dilute HCl, H2SO4 and NaOH. Which of these ions is present? Explain.

thes kind of Qs are not actually part of the hsc syllabus - its like asking what is the locus of point A if the tangents at P and Q subtend a right angle at A? if u look at patel there is a whole exercise on these non-syllabus Qs which are very good.. but wont be asked in the hsc :(

i can get the 1st one out (although my tutor's answer is 1/Sqrt(3) a^2. the second one does something stupid - using t=tanx/2 one limit doesnt exist??? help

i dont know what subs to use for 0.5a ∫ dx/(a^2-x^2) 0 and pi ∫ dx/(1-cosx) pi/2 and pi/2 ∫ dx/(4-2cos^2x) 0

im ranked about 11/70 and my marks were 61% and 97% for my assessments

complex, polys, conics curve sketching, integration