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

example: Mean, Median & Mode

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

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

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Review: Linear form, Quadratic form & Bilinear form

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2nd way: derivative (x^x)^x

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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Screen Recording 2024-05-19 at 9.56.54 PM

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Columbia U: 2nd way Evaluate the indefinite integral ∫1/(1+e^x) dx

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2nd way: exp integral e^3x/(e^x +2) dx withOUT u-sub

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

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Screen Recording 2024-05-19 at 11.13.23 PM

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4 ways: derivative x(log(x)-1)

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2nd way: integral ∫x^(n-1) /(a-bx^n) dx

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exp log derivative Know the differences ...

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Alternate way: exp derivative x^n

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Screen Recording 2024-05-18 at 11.10.22 PM

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sq root 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(√x (1+√x))dx

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Screen Recording 2024-05-19 at 9.54.19 PM

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