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Chinese videos
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logic: tautology (¬p→q)∧(¬p→¬q) →p
12 Views
Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
39 Views
MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
44 Views
MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
47 Views
Chinese anime
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Conversion: Permutation - Combination vice versa
দোল দোল দোলনী 🌸 | জনপ্রিয় বাংলা ছড়া গান | শিশুদের ছড়া | Bangla Rhymes for Kids | LamhaTV
alternate way: count sum 1+3+5+ ... +(2n-1)
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Bijection of elements in tn & a pair of elements of (n+1)
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log sq root integral ∫ln(√ x^3)/√ √ x dx
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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number
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alternate way: count sum 1+2+3+ ... +n
2nd/2ways: count perm Show P(n,n)=P(n,n-1)
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