Screen Recording 2024-02-22 at 10.09.39 PM

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 2024-05-05 at 11.16.06 PM

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Screen Recording 2024-05-10 at 6.17.33 PM

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Screen Recording 2024-05-11 at 9.05.02 PM

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3rd/3ways: trig integral ∫sec(x) dx

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2nd way: integral ∫1/(a + √√b (x^2)) dx

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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.

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Screen Recording 2024-05-18 at 12.32.05 AM

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2nd way: rational function integral ∫x^3/√ (1+x^2) dx

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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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integral ∫(x^2+2x)/(x^2+2x+2) dx

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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.

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2nd Alternate: trig integral ∫cos(x) dx

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