2nd way: trig integral ∫(cos(x)+1)/sin^2(x) dx

2010 #2 MIT Integration Bee

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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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2 way: exp integral e^(ax+b)/1+e^(ax+b)) 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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Solve the differential equation xcos^2(y) dx + tan(y) dy=0

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Simplify the following statements using only the connectives ∧, ∨ and ¬

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2nd way: exp integral ∫e^(1/x)/x^2 dx

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

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

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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2nd way: trig integral ∫sin^2(x) cos^3(x) dx

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2nd way: trig integral ∫ 1/( √3 sin(x) + cos(x)) dx

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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx

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1997 AP Calculus BC: If x=e^(2t) & y=sin(2t), then dy/dx=

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2nd way: log sq rt ∫ln(ax+b)/n√(ax+b)^m dx

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Screen Recording 2024-05-05 at 11.16.06 PM

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Screen Recording 2024-05-18 at 10.21.39 PM

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