prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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2nd way: integral ∫ log √x(x^n) 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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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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Pantun Melayu [Buah cempedak di luar pagar]

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

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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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crownXC

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Suppose E & F are 2 complementary events. Must E & F be mutually exclusive? Explain your answer.

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Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx

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trig log integral ∫sin(ln(x^n)) dx

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Screen Recording 2024-02-22 at 10.13.28 PM

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Screen Recording 2024-02-22 at 10.23.21 PM

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3 Hour Grammar Basics

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সব চেয়ে উত্তম এবং একমাত্র শ্রেষ্ঠ ধর্ম আমাদের ইসলাম

ZahidHasanOfficial

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#15 2022 MIT Integration Bee Qualifying Exam

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#4 2022 2nd/2 ways: MIT Integration Bee Qualifying Exam

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Screen Recording 2024-05-19 at 9.41.57 PM

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