#7 2023: MIT Integration Bee Quali Exam: integral ∫x^3 sin(x^2) dx

Find the expected value & the variance of a geometric r.v. X

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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logic Idempotent law show x=xVx

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Review: Linear form, Quadratic form & Bilinear form

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integral ∫ x dx withOUT using Power rule.

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2024 MIT Integration Bee Final

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2nd/3 ways: How many chords can be drawn through 21 points on a circle?

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

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Find the median of 4,6,8,...,296

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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]

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If y=a e^(mx) + b e^(-mx), show that y2=m^2y

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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

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

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Show ∫1/(a+btan(x)) dx = ...

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Columbia U: 10th/10 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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2nd way: integral ∫ (x^2+b)^3 dx

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3 ways: If y=x/(1+x^2) find dy/dx.

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BASIC ICT Seminar via Zoom Advance Excel July 18, 2025 Part 1

Christopher Angelo

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