UC Davis #3 2nd way: ∫(2-x)/(x^2+5x)dx [integration by partial fraction]

Bijection of elements in tn & a pair of elements of (n+1)

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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

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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logic Idempotent law show x=xVx

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Pantun Melayu [Sorong papan tarik papan]

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lim x/e^x? as x→∞

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2nd way: derivative (x^x)^x

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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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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Why the mean of AP is the median of AP? mean=median?

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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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log sq root integral ∫ln(√ x^3)/√ √ x dx

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2nd/2 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number

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derivative a^(f(x)g(x))^h(x)

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Alternate way: trig integral ∫cos(x) dx

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