Alternate way: ∫1/(x^2+a^2) dx

New version#Golden Legend#Teacher's contrasting perspective 55.81

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

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(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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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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

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Find the number of digits in mole [6.02x10^23]

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Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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2 ways: trig integral cos^2(x) sin^2(x) dx

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]

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Screen Recording 2024-05-05 at 11.28.23 PM

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

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Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx

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prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point

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RPET-91 2nd way trig integral ∫(cos(x)-cos^3(x)) dx

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Evaluate these 7 integrals ...

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