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#12 2014 MIT Integration Bee Qualifying Exam

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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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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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integral ∫ x dx withOUT using Power rule.

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STPM Math T Sem.2 Exponential fun: Find the derivative (19)-(40)

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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]

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Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx

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derivative a^(f(x)g(x))^h(x)

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