radical function sq root Find the derivative of f(x) = √(x+1)

2nd/3ways: sum Show 1+2+3+...+n=n(1+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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logic: tautology (¬p→q)∧(¬p→¬q) →p

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logic Idempotent law show x=xVx

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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Pantun Melayu [Sorong papan tarik papan]

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Bijection of elements in tn & a pair of elements of (n+1)

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Conversion: Permutation - Combination vice versa

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number

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shinchan song

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alternate way: count sum 1+3+5+ ... +(2n-1)

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Why the mean of AP is the median of AP? mean=median?

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🚀🦁 Little Singham: part 2 Sher Aur Savasher Ke Tedhe-Medhe Space Adventures 🦁🚀

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2 ways: trig integral ∫cos^2(x) dx

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alternate way: count sum 1+2+3+ ... +n

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