Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx

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

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

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Lamar U: trig integral ∫sin(13z) sin(4z) dz

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

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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

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Review: Linear form, Quadratic form & Bilinear form

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

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Suppose E & F are 2 complementary events. Must E & F be mutually exclusive? Explain your answer.

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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.

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Screen Recording 2024-02-22 at 10.18.05 PM

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Compute the arithmetic mean for the following grouped data ...

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

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A couple has 6 children whose ages are 6,8,10,12,14,16. Find the variance in ages.

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#24 2010 MIT Integration Bee Qualifying Exam

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Show integral ∫x √(ax+b) dx = 2(3ax-2b)√(ax+b)^3 /(15a^2)

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prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9

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Suppose E & F are mutually exclusive events. Must E & F be complementary? Explain your answer.

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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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AP Calculus: log ∫√b(√√a) dx

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