2nd way:exp sq rt integral ∫1/( √x e^(a√x -b)) dx

4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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

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

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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trig Write each expression as an equivalent algebraic expression involving only x.

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2nd part: STPM Math T Sem.2: 12.1 Numerical solution of Equations

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When Wang Bian danced, the number of people in the live broadcast room soared from 5,000 to 20,000.

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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3 ways: rational function integral ∫2x/(x+1)^2 dx

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2nd/2 parts: sum Find the sum 2,3,14,24,37,... nth term

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3 picture views of the sum ... 1+2+3+...+n

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#Guangxi Subject 3 is popular all over the world

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1st/3 parts: Growing patterns

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Diff Equ: Solve y-xdy/dx=b(1+x^2dy/dx)) via integrating factor [IF]

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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STPM Math T Sem.2: 12.1 Numerical solution of Equations

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3 ways: derivative e^y=x

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2 ways: trig integral ∫sec^2(x) csc^2(x) dx

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Sisters learned this dance and went to the annual meeting to blow up the scene

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

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