#9 2020 MIT Integration Bee Quali Exam: integral ∫1/cosh^2(x) dx

Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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

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

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count quick review: Permutation vs Combination

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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lim x/e^x? as x→∞

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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Friday, July 25, 2025 Feast of Saint James, Apostle #faith #readings #ordinarytime2025

Ramil Lauglaug

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Screen Recording 2024-02-16 at 8.34.08 PM

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Screen Recording 2024-02-16 at 9.19.45 PM

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1st/2 ways: MIT Integration Bee

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Screen Recording 2024-02-16 at 9.14.39 PM

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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.

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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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2nd way: trig integral ∫(1-cos(x))(1+cos(x))/cos^2(x) dx

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Find the number of digits in a number? (118^118)

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2nd way: trig integral ∫sin^2(x) cos^3(x) dx

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2nd way: Derivative arc cos(x/a) Calculus

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