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integral exp ∫e^(mx)/(x^n) dx via Reduction formula
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))
3 ways: derivative log(x+ (1+√(x^2)))
Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx
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3rd/3ways: sum Show 1+2+3+...+n = n(1+n)/2
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examples: 2x2 matrix which is its own inverse
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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c
2 ways: ¬p→q ≡ p∨q