MIT Integration Bee Qual. Exam #1: integral x^(1/log(x)) dx

UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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Review: Linear form, Quadratic form & Bilinear form

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logic Idempotent law show x=xVx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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Homemade rodenticide that is both eco-friendly and safe

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UC Davis: differentiate y=2^cot(x)

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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)

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Why the mean of AP is the median of AP? mean=median?

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Screen Recording 2024-02-16 at 8.23.14 PM

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trig integral ∫1/(sin(ax) cos(ax)) dx

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)

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42. Cinderella Hears Her Baby’s Voice & Exposes Every Plot—Billionaire Heir Spoils Her.!

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Find the number of different 8 letter arrangements that can be made from the letters of the word ..

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