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.

সব চেয়ে উত্তম এবং একমাত্র শ্রেষ্ঠ ধর্ম আমাদের ইসলাম

ZahidHasanOfficial

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2nd way: integral ∫ log √x(x^n) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) 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: X & Y are 2 events s.t P(x|y)=0.4, P(y)=0.25 & P(x)=0.2.

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2024 #3 MIT Integration Bee Final Lightning Round

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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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Calculus: Find nth derivative of sin(ax+b)

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Derivative d(x^(arc sin(x))/d(arc sin(x))

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Calculus: Find nth derivative of log(ax+b)

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Screen Recording 2024-02-22 at 10.13.28 PM

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3 Hour Grammar Basics

JohnSnow2

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Fill in each blank using either mean or median.

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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem

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prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:

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The number of solutions of the equation x^(log10(x)) = 100x

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