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GPT4: A tweet snippet from Michal Kosinski
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 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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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e
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lim x/e^x? as x→∞
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Review: Linear form, Quadratic form & Bilinear form
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prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?
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A bag contains 5 red balls & 3 green balls. A ball is selected at random &
Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx
UC Davis #6 integral e^x(1+2e^x)^4 dx
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2nd way: ∫1/(√(x-α)(x-β)) dx
Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx
exp integral ∫10^x e^(10x) dx
2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3
Find the expected value & the variance of a geometric r.v. X