Calculus: Find nth derivative of log(ax+b)

1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(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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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)

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2nd way: ∫ (4x^2 +x +9)/((x^2+1)(x^2+3)) dx withOUT partial fraction

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

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2nd way: exp integral ∫ dx/x^2014 /(1+1/x^2013)

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2 ways: integral ∫ 5x dx

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫x^5 √(1+x^3) dx

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prob stat: Events A & B are s.t P(A)=.3, P(B)=0.4, P(A n B)=0.1. Find a) P(AnB') b)P(A' n B')

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

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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number

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Tesla Model Y Refreshed Version: Apart from the front end, who can compete with me?!

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Heaven's Size 20,000 Sq Km Worship Arena Explained

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Screen Recording 2024-05-13 at 10.57.28 PM

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2nd way: exp integral e^g(x) (g'(x)f(x) + f'(x)) dx

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The cosplays you guys do are all leftovers from the Old Buddha…

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Early signs of cancer—be sure to know them.

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