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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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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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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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logic Idempotent law show x=xVx

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logic Idempotent law show x=xVx

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Pantun Melayu [Buah cempedak di luar pagar]

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Pantun Melayu [Buah cempedak di luar pagar]

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Pantun Melayu [Sorong papan tarik papan]

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Pantun Melayu [Sorong papan tarik papan]

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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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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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integral ∫ x dx withOUT using Power rule.

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integral ∫ x dx withOUT using Power rule.

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pascal triangle: count comb Show nCk = (n-1)Ck + (n-1)C(k-1)

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pascal triangle: count comb Show nCk = (n-1)Ck + (n-1)C(k-1)

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1st/2ways: r-Permutations

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1st/2ways: r-Permutations

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2 ways: Σ 1? where k=m to n

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2 ways: Σ 1? where k=m to n

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matrix product: AB=0 where A≠0 & B≠0

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matrix product: AB=0 where A≠0 & B≠0

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exp integral e^x (f(x) + f'(x)) dx

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exp integral e^x (f(x) + f'(x)) dx

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Any function f is a sum of an EVEN & an ODD function

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Any function f is a sum of an EVEN & an ODD function

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2 ways: trig show tan(2x)=2tan(x)/1-tan^2(x))

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2 ways: trig show tan(2x)=2tan(x)/1-tan^2(x))

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2 ways: trig integral ∫ sin(ax+b) dx

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2 ways: trig integral ∫ sin(ax+b) dx

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

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UC Davis: 4 ways exp integral ∫7^(2x+3) dx

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UC Davis: 4 ways exp integral ∫7^(2x+3) dx

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2 ways: exp integral ∫e^√x dx

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2 ways: exp integral ∫e^√x dx

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