UC Davis #8 [THE INTEGRATION OF RATIONAL FUNCTIONS] withOUT u-sub

2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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

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integral ∫ x dx withOUT using Power rule.

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

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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AP Calculus: log ∫√x(√√x) da

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2nd/3ways: exp Derivative x^x

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log sq root integral ∫ln(√ x^3)/√ √ x dx

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3rd/3ways: trig integral ∫sec(x) dx

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#16 MIT 2022 Integration Bee Qualifying Exam

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William & Mary Math112: trig integral sin^3(x) cos^2(x) dx

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Review: trig tan(x+360)= tan(x) & tan(x+180)=tan(x)

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3rd/3ways: exp Derivative x^x

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Determine the equation of the normal drawn to the astroid ...

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sq root derivative √x [Good to know the result]

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2nd part/3parts: Mean of -11,-2,7,...,70 SAME as Mean -11 & 70

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Alternate way: trig integral ∫sin(x) dx

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Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..

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