example Find 1+2+3+...+n via Pick's Theorem

2nd way: ∫1/(√(x-α)(x-β)) 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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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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Find the power set of each of the following sets ...

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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 way: integral ∫log n√(ax+b)(ax+b) dxx

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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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1st/2 parts stat: SLR ∑ŷk = ∑yk where k=1,n

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2nd way: exp integral ∫e^(1/x)/x^2 dx

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2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS

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#4 2022 2nd/2 ways: MIT Integration Bee Qualifying Exam

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Columbia U: 1st way Evaluate the indefinite integral 1/(1+e^x) dx

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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1st/2 ways: MIT Integration Bee

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#22 2019 MIT Integration Bee Final

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