sqrt integral ∫(√x+1)/(x+√x) dx

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) 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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(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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lim x/e^x? as x→∞

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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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Find the expected value & the variance of a geometric r.v. X

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Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx

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#6 2024 MIT Integration Bee Qualifying Exam

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#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam

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alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"

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#4 2022 2nd/2 ways: MIT Integration Bee Qualifying Exam

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derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0

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8Screen Recording 2023-12-07 at 1.55.57 AM

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AP Calculus: integral ∫(5√x^3 + √6x) /√x dx

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