1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx

#6 2024 MIT Integration Bee Qualifying Exam

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2nd way: integral ∫ log √x(x^n) dx

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

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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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2nd way: trig integral ∫ 1/( √3 sin(x) + cos(x)) dx

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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85

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Find the power set of each of the following sets ...

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034) L01 Atom and molecules NA

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Matriculation & Calculus: Show if y=f(x) g(x) h(x) k(x)

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prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9

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Screen Recording 2024-02-22 at 10.13.28 PM

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NUS MA1102R: Find ALL second-order partial derivatives of f(x,y) = x^2 y -y^3 + ln(x)

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Screen Recording 2024-02-02 at 1.54.05 AM

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2nd way: sq rt integral ∫ √√e^x dx

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Screen Recording 2024-02-16 at 9.19.45 PM

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2nd way: trig integral 1/(cot(x)-tan(x)) dx

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