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

Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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Show Σa=na where k=1 to n

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Derivative (af(x)+b)^(pg(x)+q)

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Compute the arithmetic mean for the following grouped data ...

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prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85

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1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]

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trig derivative differentiate x^x - 2^sin(x)

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2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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2nd way: integral ∫x/(a-bx^4) dx

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Which of the following data sets has a median of 3?

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2nd/2ways: count perm Show P(n,2)+P(n,1)=n^2

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prob stat: X & Y are 2 events s.t P(x|y)=0.4, P(y)=0.25 & P(x)=0.2.

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3 ways: trig Show sec(2x)=sec^2(x)/(2-sec^2(x))

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NUS MA1102R: For f(x,y) = e^(xy) + x/y, compute fx & fy

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

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Find the number of permutations of the letters of the word ALLAHABAD

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