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2nd way: trig integral ∫ 1/( √3 sin(x) + cos(x)) dx
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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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2nd way: integral ∫ log √x(x^n) dx
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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2 ways: sq root derivative 1/(√√(1/√x))
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2 ways: derivative √(x+1) √(x-1)
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2 ways: Evaluate lim sin(x)/tan(x) where x tends to 0.
#11 2014 MIT Integration Bee Qualifying Exam
3rd/3 ways: How many chords can be drawn through 21 points on a circle?
integration bee 2018 Swinburne U integral x^2/2 ln(2/x^2) dx
#13 2010 MIT Integration Bee Qualifying Exam
2nd way: derivative y^2=4a(x+a sin(x/a))
2 ways: derivative x √√x
Show integral ∫x √(ax+b) dx = 2(3ax-2b)√(ax+b)^3 /(15a^2)
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integral ∫(8x+12) (x^2+3x+1)^4 dx vs integral ∫(8x+12)/(x^2+3x+1)^4
UC Davis: 2nd way differentiate y=(sin(x))^(x^3)
Screen Recording 2024-02-16 at 9.19.45 PM
Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub
#6 2014 MIT Integration Bee Qualifying Exam
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