integration bee 2014 UNSW: 4th way: e^x(cos(x)+sin(x)) dx

UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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Pantun Melayu [Sorong papan tarik papan]

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Bijection of elements in tn & a pair of elements of (n+1)

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JEE Main integral x^2/(a+bx)^2 dx

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Alternate way: ∫(5+2x)/(x+x^4)dx

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derivative (f(x)/g(x))^h(x)

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NONelementary integral ∫e^(ax)/x dx

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1st/2 ways[Direct]: Prove that the sum of 2 ODD numbers is ALWAYS EVEN

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2nd way: derivative (x^x)√ x

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2.5 ways: trig derivative x sin(x) cos(x)

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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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2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3

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JHU: integral ∫t^3 e^(t^2) dt

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2nd way: derivative ∫log (f(x))^g(x) (p(x))^r(x)

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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Screen Recording 2024-05-10 at 6.19.39 PM

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#Screen Recording 2024-05-13 at 10.52.38 PM

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