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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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logic Idempotent law show x=xVx
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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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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"I must have opened it the wrong way!"
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The looping film "Unexpected Space".
#4 2017 MIT Integration Bee Qualifying Exam
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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.
Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5
2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx
Bijection of elements in tn & a pair of elements of (n+1)
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#7 2023: MIT Integration Bee Quali Exam: integral ∫x^3 sin(x^2) dx
trig integral ∫x/(1+x) dx vs ∫cos(x)/(1+cos(x)) dx