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bathroom fun
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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trig Write each expression as an equivalent algebraic expression involving only x.
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Review: Linear form, Quadratic form & Bilinear form
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2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]
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2 ways: integral ∫(x-a)/(x+a) dx
3 ways: If y=x/(1+x^2) find dy/dx.
trig Evaluate each expression below withOUT using a calculator.
Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..
4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100
alternate way: count sum 1+2+3+ ... +n
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3rd/3ways: sum Show 1+2+3+...+n = n(1+n)/2
Alternate way: exp derivative x^n
WMich. U: 2nd way trig derivative d/dx(sin(x)^cos(x))
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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c
2 ways: Find a formula for d/dx[f^m(x) g^n(x)], where f & g are differentiable functions ...
Lamar U: Derivatives of Exponential & Log Functions Practice Problems.