UT Austin: trig integral ∫(1/x^2) sin(1/x) cos(1/x) 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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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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Review: Linear form, Quadratic form & Bilinear form

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

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

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

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2nd way: sq rt log integral ∫√√√(x) ln(x) dx

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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Screen Recording 2024-05-05 at 11.16.06 PM

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

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

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2nd way: integral ∫x/(2ax-x^2) dx

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Calculus: Find nth derivative of log(ax+b)

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2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1

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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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AP Calculus 2nd way: integral ∫(ax^2+bx+c)/(ax+c) dx

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integration bee 2014 UNSW 2nd way 1/(sin^3(x) cos(x))

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