1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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

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

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

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Review: Linear form, Quadratic form & Bilinear form

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4 ways: derivative x(log(x)-1)

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Screen Recording 2024-02-16 at 8.23.14 PM

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2010 #2 MIT Integration Bee

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2024 #3 MIT Integration Bee Final Lightning Round

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Tall Childhood Friend × Popular Boy: Forecasting A Star Brighter Than the Sun Anime Before it Drops

Mdkx

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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n

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Danny & Daddy Duet

KA CHYE Toh

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Screen Recording 2024-02-21 at 10.01.27 PM

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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?

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2 ways: integral ∫x√(1-x) dx

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inverse trig Derivative arc sin(x)

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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AP Calculus: integral ∫(5√x^3 + √6x) /√x dx

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impIicit diff f x^y=y^x, find dy/dx at (2,4)

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2nd/3ways: Laplace Show that ...

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