2nd way: e^x cos^3(e^x) sin(e^x) dx

2nd/3ways: sum Show 1+2+3+...+n=n(1+n)/2

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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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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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logic: tautology (¬p→q)∧(¬p→¬q) →p

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Pantun Melayu [Sorong papan tarik papan]

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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naruto❤️

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Conversion: Permutation - Combination vice versa

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2nd/2 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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alternate way: count sum 1+3+5+ ... +(2n-1)

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

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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number

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OSU Math 1151 Practice1: Compute the derivative (1)-(8)

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3rd/3 ways: trig integral ∫ sin(ax+b) dx

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4th/4parts: Maclaurin Series [ahp kia]

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alternate way: count sum 1+2+3+ ... +n

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stat: SLR Properties of residuals

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