Alternate way: ∫(5+2x)/(x+x^4)dx

1st/2ways: Taylor series of sin(x)

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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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1st/2 ways[Direct]: Prove that the sum of 2 ODD numbers is ALWAYS EVEN

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2nd/2ways: Taylor series of sin(x)

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2nd/2ways: If x^3+y^3=3axy, find dy/dx

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NUS MA1102R: For f(x,y) = e^(xy) + x/y, compute fx & fy

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2nd way: ∫1/(√(x-α)(x-β)) dx

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Quickie: 6169^2 - 2331^2?

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Hyde - 'Inside' Live 2025 World Tour 'Beauty & The Beast' [2025.08.10]

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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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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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3rd/3ways: trig integral ∫sec(x) dx

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2nd/2ways: Taylor series of sin(x) [Maclaurin's series]

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Screen Recording 2024-05-05 at 11.22.54 PM

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integral ∫(x^2+2x)/(x^2+2x+2) dx

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

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