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Show ∫1/(a+btan(x)) dx = ...
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2nd way: integral ∫ log √x(x^n) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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logic Idempotent law show x=xVx
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Review: Linear form, Quadratic form & Bilinear form
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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.
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prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?
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JHU: integral ∫t^3 e^(t^2) dt
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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx
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Pascal's triangle nth triangular number [examples]
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2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx
picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n
sq root derivative √x [Good to know the result]
Fill in each blank using either mean or median.
prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:
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A couple has 6 children whose ages are 6,8,10,12,14,16. Find the variance in ages.
2 ways: trig integral cos^2(x) sin^2(x) dx
AP Calculus 2nd way: trig integral ∫dx/(4-3cos^2(x)+5sin^2(x)) dx