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2nd way: derivative x^n w.r.t x^x
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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trig Write each expression as an equivalent algebraic expression involving only x.
RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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Pantun Melayu [Sorong papan tarik papan]
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2nd/3 ways: How many chords can be drawn through 21 points on a circle?
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3 ways: ∫ (3x+11)/(x^2-x-6) dx
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exp integral ∫(e^x +1)^3 dx
picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n
2nd way: derivative x^n w.r.t. n^x
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count Show Σ k^2 = ΣΣmin(i,j) where i,j,k=1 to n
implicit differentiation Find dy/dx, sin(xy) +x/y = x^2 -y
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derivative y=log10(x-cos(x))
We lost original x's but still know mean x̄ & n. Now we collected m new observations.
2 ways: trig integral ∫1/(2+cos^2(x)) dx
Doraemon in Hindi Season 03 Episode 17