Find the derivative of f(x)=a via 1st principle

2nd way: lim ((1+h)^3-1)/x? as h →0

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2nd way: integral ∫ log √x(x^n) dx

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

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lim x/e^x? as x→∞

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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

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Review: Linear form, Quadratic form & Bilinear form

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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

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Columbia U: 4th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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slope-intercept formula y=mx+c where m is slope & c is y-intercept

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CMU integral ∫1/(x^2 √(16x^2 -19)) dx

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2nd way: integral ∫ log n√x (x) dx

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trig Show cos(4x) = 8 cos^4(x) -cos^2(x)+1

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Columbia U: 3rd way Evaluate the indefinite integral ∫1/(1+e^x) dx

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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Screen Recording 2024-02-16 at 8.27.04 PM

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2nd/2 ways: #12 2024 MIT Integration Bee Qualifying Exam

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A couple has 6 children whose ages are 6,8,10,12,14,16. Find the variance in ages.

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