IGCSE 2023 p2 Add Math #4

1st way: exp ∫(e^x)/x (1+x log(x)) dx

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2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.

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

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2nd way: integral ∫ log √x(x^n) dx

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

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

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prob stat: For the sample shown in the freq distribution table, what is the mode?

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Thailand's heartfelt advertisement: Your world is not just about love...

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prob stat: Show ∑(xk-x̄)(yk-ȳ) = ∑(xk-x̄) yk where k=1 to n

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integral ∫(x^2+2x)/(x^2+2x+2) dx

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1st way: derivative (x^2+1)^sin(x)

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#6 2024 MIT Integration Bee Qualifying Exam

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1st/2 ways[Direct]: Prove that the sum of 2 ODD numbers is ALWAYS EVEN

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2nd/2ways: Taylor series of sin(x)

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

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2nd way: arc trig derivative 1/arc tan(x)

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1st way: If x^y+ y^x=2 then find dy/dx

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derivative 1/(f(x)-g(ae^(px+q)+b))^1/n

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integral ∫(2x+3)/(4x^2+1) dx

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2nd way: log hyper trig derivative ln(tanh(2x))

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