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Screen Recording 2024-05-13 at 9.18.43 PM
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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Review: Linear form, Quadratic form & Bilinear form
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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Screen Recording 2024-05-05 at 11.28.23 PM
Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx
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Screen Recording 2024-05-10 at 6.17.33 PM
prob stat It is known that P(X)=1/2 & P(Y)=1/4. Given that X & Y are mutually exclusive, find
prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.
Mohammad Ali Jinnah University: Integrate the followings.
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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.
Screen Recording 2024-05-05 at 11.24.33 PM
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Screen Recording 2024-05-13 at 10.57.28 PM