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Santa Claus Tinola Line

FritzDeville

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

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

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

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2 ways: sq root derivative 1/(√√(1/√x))

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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2nd/3ways: trig integral ∫sec(x) dx

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integral ∫ x dx withOUT using Power rule.

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2 ways: integral ∫ (4t+7) dt

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Screen Recording 2024-02-21 at 10.01.27 PM

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Screen Recording 2024-02-21 at 11.48.01 PM

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx

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AP Calculus: integral ∫(5√x^3 + √6x) /√x dx

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Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane

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1

sereh_wangi

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2nd/2ways: If x^3+y^3=3axy, find dy/dx

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AP Calculus: 2nd way integral log √x (√√x) dx

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

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#6 2014 MIT Integration Bee Qualifying Exam

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