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Lamar U: Use log. differentiation to find the 1st derivative of the given function
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Pantun Melayu [Buah cempedak di luar pagar]
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The pth, qth, & rth terms of an AP are x,y,z respectively.
Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx
matrix example: How to select the column you want ...
2nd way: trig integral ∫√(sec^5(x)/sin^3(x)) dx
multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.
2nd way: trig inverse ∫(2012)^x (2012)^ arc (sin(2012)^x)√(1-(2012)^2x) dx
1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]
Screen Recording 2024-05-12 at 8.34.35 PM
UC Davis #1 integral 1/(1+√x) dx via power sub.
2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub
trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula
NYU: 2 ways integral ∫(x^2 + 2x +1) dx
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 ∫ √sec^5(x)/√sin^3(x) dx
If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2
partial Let f(x,y,z)=x e^(yz). Compute fxzy & fyxz.