Columbia U: 6th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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【إكسل】 جهز جدولك بضغطة زر واجعل الجميع يذهلون!

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2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.

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Review: Linear form, Quadratic form & Bilinear form

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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logic Idempotent law show x=xVx

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

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trig Show ...

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

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ cos^2(x) sin^3(x) dx

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫tan^(3/2)(x) sec^4(x) dx

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2 ways: exp derivative ln(e^(x+1/x))

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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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1st way: lim ((1+h)^3-1)/h? as h→0

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2nd way: lim ((1+h)^3-1)/x? as h →0

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If xy+y^2=tan(x) +y, then find dy/dx

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trig derivative y=√sin(√x)

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