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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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Screen Recording 2024-05-11 at 9.05.02 PM
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1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx
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Screen Recording 2024-05-05 at 11.26.15 PM
Qimiao Mengke Season 5 Episode 24 "Come Back, Bubble Mengke"
When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?
prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
2 ways: integral ∫ (4t+7) dt
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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.
Screen Recording 2024-05-05 at 11.14.54 PM
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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx
1st way: Calculate integral ∫x^2 (x+1)^9 dx
IIT-1995 2nd way integral ∫x^5/(1+x^3) dx
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prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point
2 ways: derivative x √√x
2nd/2ways: Taylor series of cos(x)