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#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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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx
derivative Find d2y/dx2 for this function y=ln(x)/(1-x)
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2nd way: trig integral ∫ 1/( √3 sin(x) + cos(x)) dx
Matriculation & Calculus: Show if y=f(x) g(x) h(x) k(x)
prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85
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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx
prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9
Screen Recording 2024-02-22 at 10.13.28 PM
NUS MA1102R: Find ALL second-order partial derivatives of f(x,y) = x^2 y -y^3 + ln(x)
Find the power set of each of the following sets ...
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034) L01 Atom and molecules NA
1st/2 way: Expand e^sin(x) by Maclaurin's Theorem
Screen Recording 2024-02-16 at 9.19.45 PM
Screen Recording 2024-02-02 at 1.54.05 AM
2nd way: sq rt integral ∫ √√e^x dx