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

Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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

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2 ways: sq root derivative 1/(√√(1/√x))

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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.

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NONelementary integral ∫e^(ax)/x dx

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Variability or spread of a distribution. Whey we need it!

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034) L01 Atom and molecules NA

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Screen Recording 2024-05-05 at 11.22.54 PM

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Lamar U #12 trig integral sec^4(2t)/tan^9(2t) dt

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8Screen Recording 2023-12-07 at 1.55.57 AM

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#19 2011 MIT Integration Bee Qualifying Exam

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exp integral ∫10^x e^(10x) dx

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Screen Recording 2023-12-06 at 3.07.30 AM

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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.

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U Penn: Evaluate trig integral ∫(sin^2(x) -cos^2(x))/(sin(x)-cos(x))^2 dx

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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