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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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Screen Recording 2024-05-05 at 11.29.37 PM
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Review: Linear form, Quadratic form & Bilinear form
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
integration bee 2014 UNSW 2nd way: tan(x)/(sin(x) cos(x)) dx
2.5 ways: trig derivative x sin(x) cos(x)
Which of the following do NOT constitute a set & WHY?
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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 2024-05-18 at 12.32.05 AM
prob stat: 2nd/2 parts. One sample has a mean of M=6 &
Screen Recording 2024-05-11 at 8.58.53 PM
Mohammad Ali Jinnah University: Integrate the followings.
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trig integral ∫7x sin(x^2) sin(4x^2) dx
What is π?
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count Show Σ k^2 = ΣΣmin(i,j) where i,j,k=1 to n
exp Calculate ∫x^3 3^x dx via IBP
WMich. U: 2nd way trig derivative d/dx(sin(x)^cos(x))
2nd/2 ways: Show 1+3+5+ ... +(2n-1) + (2n+1) + (2n-1)+...+5+3+1= n^2 + (n+1)^2