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Sum of Square vs Square of Sum
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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2 ways: sq root derivative 1/(√√(1/√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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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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integral ∫ x dx withOUT using Power rule.
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2024 MIT Integration Bee Final
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Which of the following do NOT constitute a set & WHY?
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Find the median of 4,6,8,...,296
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#15 2022 MIT Integration Bee Qualifying Exam
#6 2010 MIT Integration Bee Qualifying Exam
Discrete rv X has the following prob. distribution
#8 2021 MIT Integration Bee Qualifying Exam
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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx
Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..
2nd way: trig integral ∫sin(a/x +b)/x^2 dx