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2024 MIT Integration Bee Final
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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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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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integral ∫ x dx withOUT using Power rule.
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#6 2010 MIT Integration Bee Qualifying Exam
Sum of Square vs Square of Sum
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exp Evaluate these 4 integrals containing e^x ...
#10 2024 MIT Integration Bee Qualifying Exam
AP Calculus: 2nd way integral log √x (√√x) dx
Alternate way: exp derivative x^n
2nd/3part: Maclaurin Series [ahp kia]
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Review Add Math: 1.2/parts: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers
2 ways: Find the derivative y=ln(x) sin(x)
#19 2019 MIT Integration Bee Final
Compute the derivatives of the following function
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