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2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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Swinburne U 2nd way: e^(-e^x) e^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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Review: Linear form, Quadratic form & Bilinear form
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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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Find r, if 5 4Pr = 6 5(r-1)
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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
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derivative differentiate x^x - 2^sin(x)
UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n
The child was fed medicine and was praised by everyone. He gradually forgot that he was taking medic
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We lost original x's but still know mean x̄ & n. Now we collected m new observations.
4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number
Alternate way: 2nd picture Show 1+3+5+...+(2n-1)=n^2
2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]
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#14 2014 MIT Integration Bee Qualifying Exam
1st/parts: Derivative of the inverse circular functions
exp integral ∫a^x/b^x dx
logic Show by truth table x∧(x→y)→y is Tautology