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example Find 1+2+3+...+n via Pick's Theorem
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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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Pantun Melayu [Buah cempedak di luar pagar]
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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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Pantun Melayu [Sorong papan tarik papan]
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
#9 2023 MIT Integration Bee Qualifying Exam
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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt
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implicit differentiation Find dy/dx, sin(xy) +x/y = x^2 -y
#17 2012 MIT Integration Bee Qualifying Exam
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#18 2023 MIT Integration Bee Qualifying Exam
2nd way: trig integral ∫(sin^6(x)+cos^6(x))/(sin^2(x) cos^2(x)) dx
#18 2010 MIT Integration Bee Qualifying Exam
#17 2010 MIT Integration Bee Qualifying Exam
#2 2023 MIT Integration Bee Qualifying Exam
2nd way: integral ∫ (x^2+b)^3 dx
#17 2020 MIT Integration Bee Quali Exam:
MIT Integration Bee Quali Exam 2023 #13 ∫(x+e+1)x^e e^x dx