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Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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lim x/e^x? as x→∞
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Review: Linear form, Quadratic form & Bilinear form
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2nd way: Evaluate integral ∫x^2/√(19-x^2) dx
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5 ways: integral ∫a^(px+q) dx
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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx
2010 #2 MIT Integration Bee
trig integral ∫1/(sin(ax) cos(ax)) dx
trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula
Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed
3 ways: Find 1+2+3+ ... + n^2.
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NYU: 3 ways ∫(1+ln(x))/x dx
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.
prob stat: For events A & B it is known that P(A)=P(B), P(AnB)=0.1 & P(AuB)=0.7. Find P(A')
Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?
UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...