#3 2017 MIT Integration Bee Qualifying Exam

UC Davis: differentiate y=2^cot(x)

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

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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

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

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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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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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2nd way: trig integral ∫(1-cos(x))(1+cos(x))/cos^2(x) dx

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CMU integral ∫1/(x^2 √(16x^2 -19)) dx

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Rutgers U 2nd way: trig integral ∫sin^5(x) dx

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(4x)) dx

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Oranges Are Not the Only Fruit

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UC Davis: differentiate y=(3x+1)^2

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exp integral ∫x^2 e^(-2) dx

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

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I.B.P Derivation [Integration By Parts]

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If you’ll excuse my frankness, university education hinges on defenses.

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