derivative If y=(a+bx)e^(-nx), prove that y2+2ny1+n^2y=0

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

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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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2nd way: integral ∫ log √x(x^n) dx

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logic Idempotent law show x=xVx

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

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2nd/3ways: trig integral ∫sec(x) dx

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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.

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UC Davis#4 4 ways: integrate 7^(2x+3) dx

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

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Lawyer Analysis, Jujutsu Kaisen Sin Ranking

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prob stat: 1st/2 parts. One sample has a mean of M=6 &

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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.

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2nd way: trig integral ∫1/(1+sec(x)) dx

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2nd/2parts stat: SLR Regression lline always goes through the point (x̄, ȳ)

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UC Davis #6 integral e^x(1+2e^x)^4 dx

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2010 Raytheon MATHCOUNTS National Competition

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Columbia U: 4th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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Screen Recording 2023-12-07 at 2.04.49 AM

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