Careful: arc sin(sin(5π/4)) ≠ ...

integral ∫x^3/(x+2) dx

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

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

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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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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lim x/e^x? as x→∞

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#3 2024 MIT Integration Bee Qualifying Exam

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2010 #2 MIT Integration Bee

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#5 MIT 2022 Integration Bee Qualifying Exam

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trig integral ∫1/(1+cos(ax+b)) dx

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Show that ar sinh(x) = ln(x + √ (x^2+1))

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3 ways: Derivative x^(-1/x)

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2nd way: trig integral ∫ 1/( √3 sin(x) + cos(x)) dx

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2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))

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SFAWTDE-Television addict!

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2nd way: derivative x^n w.r.t x^x

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Fill in each blank using either mean or median.

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Rutgers U: Verify using calculus

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prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:

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derivative log f(g(x)) (a)

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