2nd way:exp sq rt integral ∫1/( √x e^(a√x -b)) dx

Lamar U: Use log. differentiation to find the 1st derivative of the given function

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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

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Bijection of elements in tn & a pair of elements of (n+1)

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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2 ways: integral ∫ (4t+7) dt

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matrix example: How to select the ROW you want ...

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Evaluate these 7 integrals ...

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NYU: 3 ways ∫(1+ln(x))/x dx

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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

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Purdue U: 2 ways Evaluate ∫2/(x (x-1)) dx where x=3 to 4

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U Penn: Show that the following decomposition CANNOT hold ...

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#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub

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NYU: 2 ways integral ∫(x^2 + 2x +1) dx

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Purdue U: Evaluate ∫sec^5/2(x) tan(x) dx where x= 0 to pi/3

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2 ways: trig integral cos^2(x) sin^2(x) dx

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UC Davis #1 integral 1/(1+√x) dx via power sub.

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NYU: 2 ways compute log integral ∫ln(x) dx

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NYU: compute integral ∫√(1+ √x) dx

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