2nd way: integral pi^sqrt(x) dx

MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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

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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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logic: tautology (¬p→q)∧(¬p→¬q) →p

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

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Pantun Melayu [Buah cempedak di luar pagar]

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2nd way: derivative (x^x)^x

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lim x/e^x? as x→∞

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stat: SLR Properties of residuals

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গরিব মা ও দুই মেয়ের সংগ্রাম 😢 | শেষ পর্যন্ত যা ঘটল, চোখে পানি চলে আসবে | Bengali Moral Story

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prob stat: The following frequency table gives the values obtained

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A random variable X has the following parameters: E(X)=a & Var(X)=2a^2-1 a∈R

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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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Why You Understand English on Paper But Not When They Speak | 37-Minute English Podcast (B2-C1)

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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4 ways: trig integral ∫tan(x) dx

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2nd/3ways: sum Show 1+2+3+...+n=n(1+n)/2

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