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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.
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Swinburne U 2nd way: e^(-e^x) e^x dx
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2nd way: integral ∫ log √x(x^n) dx
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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prob stat: For the sample shown in the freq distribution table, what is the mode?
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Thailand's heartfelt advertisement: Your world is not just about love...
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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5
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2nd/2ways: Taylor series of sin(x)
1st/2ways: Taylor series of sin(x)
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3 ways: ∫ (3x+11)/(x^2-x-6) dx
prob stat: Show if y=ax+b where a & b are constants then ȳ = ax̄ + b
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2nd way: If y=(ax-b)/(a-bx), prove that 2y1y3=3(y2)^2
1st/2 ways: derivative x^2/3 + y^2/3 = a^2/3
2nd way: ∫2x/(x+5)^6 dx vs ∫2x (x+5)^6 dx
2nd way: arc trig derivative 1/arc tan(x)
1st way: If x^y+ y^x=2 then find dy/dx
3rd/3ways: trig integral ∫sec(x) dx
#6 2024 MIT Integration Bee Qualifying Exam