2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))

It turns out that Komi-san is also shy~

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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

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

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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prpob stat A bag contains 5 black balls 6 red balls. Determine the number of ways in which ...

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5 ways: integral ∫a^(px+q) dx

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exp derivative x^n w.r.t x

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stat: SLR Properties of residuals

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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Screen Recording 2024-05-11 at 8.58.53 PM

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

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integral ∫x^2/√(x^2+a^2) dx

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trig integral ∫1/(cos(x)(1+cos(x)) dx

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Screen Recording 2024-05-10 at 5.37.05 PM

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sq root 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(√x (1+√x))dx

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2 ways: derivative √(x+1) √(x-1)

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