2nd way: trig integral ∫1/(sin(x) cos^2(x)) dx

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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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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logic Idempotent law show x=xVx

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2nd way: integral ∫ log √x(x^n) dx

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2nd/3ways: trig integral ∫sec(x) dx

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Show ∫1/(a+btan(x)) dx = ...

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2nd way: Express as partial fractions

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alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"

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logic: Show p→q ≡¬ p∨q

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2nd/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))

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1st/2ways: trig integra ∫sin(2x)/(1+cos^2(x)) dx

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2nd way: integral ∫a^log√a(x^n) dx

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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?

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2nd way: trig integral ∫sin^6(ax+b) cos^6(ax+b) dx

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Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx

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2nd way: integral ∫1/x log mb(x) dx

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