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Screen Recording 2024-05-13 at 9.18.43 PM
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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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2nd way: derivative (x^x)^x
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Review: Linear form, Quadratic form & Bilinear form
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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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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx
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Screen Recording 2024-05-19 at 9.56.54 PM
prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.
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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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.
#4 2017 MIT Integration Bee Qualifying Exam
When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?
Screen Recording 2024-05-11 at 9.05.02 PM
trig integral ∫sin(x) cos(x) cos(2x) cos(4x) cos(8x) cos(16x) cos(32x) dx
Screen Recording 2024-05-18 at 12.32.05 AM
prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point