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2 ways: integral ∫(x-a)/(x+a) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
42 Views
MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
27 Views
Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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alternate way: count sum 1+2+3+ ... +n
3 Views
matrix product: AB=0 where A≠0 & B≠0
examples: 2x2 matrix which is its own inverse
2 ways: Σ 1? where k=m to n
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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx
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Robots are so cute and funny these days!
Vandermonde's Identity
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count comb: values nCn, nC(n-1), nC(n-2)
Find the number of subsets {1,{2,3}}
Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2
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log sq root integral ln(√√x) dx
2 ways: AUC y=c?
3rd/3ways: count comb A set with n elements has 2^n subsets
integral ∫x^(n-1)/(1+x^n) dx
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