NYU: 2 ways compute log integral ∫ln(x) dx

#3 2024 MIT Integration Bee Qualifying Exam

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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

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trig Write each expression as an equivalent algebraic expression involving only x.

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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2 ways: sq root √x^x

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A function f is called even if f(-x)=f(x) for ALL x in the domain of f &

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integral ∫√(x-a)/x dx

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Sum/Difference of 2 EVEN function is EVEN

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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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3rd/3ways: trig integral ∫sec(x) dx

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Find the Maclurin series for (2x+3)(5x-4)

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2nd Alternate trig ∫integral sin(x) dx

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4th way: rational function integral ∫x^3/√ (1+x^2) dx

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1st/3ways: exp Derivative x^x

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2nd Alternate: trig integral ∫cos(x) dx

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2nd/3ways: exp Derivative x^x

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1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...

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