alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

examples: 2x2 matrix which is its own inverse

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count quick review: Permutation vs Combination

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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Pantun Melayu [Sorong papan tarik papan]

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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If 4xe^(xy)=y+5sin^2(x) then find the value of y'(0)

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3 ways: sum Show 1+3+5+...nth term = n^2

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Show log b^n(x^m) = m/n logb(x)

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1st/2ways: r-Permutations

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Doraemon S21E06 (526) in Hindi

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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2

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2 ways: derivative a^f(g(x))

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commutative: ab=ba via "picture"

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"baby" fact: exp e^(ix)

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Any function f is a sum of an EVEN & an ODD function

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