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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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💫"Backstabbed in a Backwater Dungeon: My Trusted Companions Tried to Kill Me [TEASER]
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#4 2022 2nd/2 ways: MIT Integration Bee Qualifying Exam
2nd way: Find dy/dx a)x^y=y^x b)x^y+y^x=(x+y)^(x+y c) (cos(x))^y=(sin(y))^x
2nd/2ways: Taylor series of sin(x)
3 ways: ∫ (3x+11)/(x^2-x-6) dx
prob stat: Show ∑(xk-x̄)(yk-ȳ) = ∑(xk-x̄) yk where k=1 to n
Derivative d/dx(x^x) NOT equal ...
1st/2ways: Taylor series of sin(x)
2nd way: If y=(ax-b)/(a-bx), prove that 2y1y3=3(y2)^2
1st/parts: Derivative of the inverse circular functions
integral ∫(x^2-x+1)/(x^2+x+1) dx