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4th/4ways: trig derivative sin(x)
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example: Mean, Median & Mode
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logic: tautology (¬p→q)∧(¬p→¬q) →p
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(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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logic Idempotent law show x=xVx
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🪔 Happy Deepavali 🪔 [Nov-12-2023]
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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx
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derivative (f(x)/g(x))^h(x)
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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.
2nd/2ways: Taylor series of sin(x) [Maclaurin's series]
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2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3
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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem
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NONelementary integral ∫e^(ax)/x dx
Evaluate these 7 integrals ...
2nd/2 ways: Alternate way: Given 2 points, find equation of st line passing the ..
NYU: 3 ways ∫(1+ln(x))/x dx
AP Calculus 2nd way: integral ∫ (3^(x+1)-7^(x-1))/21^x dx
UC Davis: 2nd way #12 (sec^2(x)/(tan^3(x)-tan^2(x)) dx