trig integral ∫1/cos(ax+b) dx

Growing patterns #3

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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

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

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

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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UC Davis #12: exp integrate ∫(27e^(9x) + e^(12x))^(1/3) dx

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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Solve x(x-1)dy/dx - (x-2)y=x^3(2x-1) via Integrating Facto[IF]

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#10 2023 MIT Integration Bee Qualifying Exam

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1st/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0

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

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#9 2023 MIT Integration Bee Qualifying Exam

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2 ways: log exp derivative ln(x) e^(2ln(x))

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#2 2023 MIT Integration Bee Qualifying Exam

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UC Davis: 2nd way differentiate y=x^(e^x)

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1st/3parts: "Exploding" dots game.

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prob stat: The prob. that it will snow tomorrow is 0.75.

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