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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e
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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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Suppose E & F are 2 complementary events. Must E & F be mutually exclusive? Explain your answer.
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Find the median of 4,6,8,...,296
Example: Find the sum
2nd Alt. way: log Taylor series of ln(sec(x)) withOUT Taylor series explicitly
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integration bee 2014 UNSW 3rd way: e^x(cos(x)+sin(x)) dx
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【MLP】Little Pony Screaming Collection 5
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integration bee 2014 UNSW: 4th way: e^x(cos(x)+sin(x)) dx
[Azur Lane MMD] Taiho [KING]
2nd/2ways: trig Evaluate (sin^6(x) + cos^6(x))/(sin^2(x) cos^2(x)) dx
1st/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)
STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
1st/3 ways: Show 1+2+3+...+n=n(1+n)/2 via picture
If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0
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