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MPPET 1996 Hindustan: trig integral ā« sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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2nd way: trig integral ā«1/(cos^2(x) - sin^2(x)) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ā« sec(x)/(sec(x)-tan(x)) dx
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logic: tautology (¬pāq)ā§(¬pā¬q) āp
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MP 98 Hindustan: Evaluate (i) ā«e^loge(x) dx (ii) ā«e^(-loge(x)) dx
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Pantun Melayu [Sorong papan tarik papan]
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Swinburne U 2nd way: e^(-e^x) e^x dx
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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) āseparable to ā separable
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)
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Giant ships are launched in different countries: Japan uses a push-to-launch method, while Indiaās m
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2 ways: derivative a^f(g(x))
logic: contradiction pā§Ā¬p
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Screen Recording 2024-02-16 at 8.23.14 PM
2 ways: integral ā«(x-a)/(x+a) dx
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3rd/10parts: Exclusive disjunction
U of Auckland: proc & stat Let X be a continuous random variable with p.d.f
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trig integral ā«sin(x) cos(x) cos(2x) cos(4x) cos(8x) cos(16x) cos(32x) dx
sum Show 1+3+5+...+nth term = n^2 via picture
prob & stat: Show ...