2 ways: log derivative y=ln(a+b)

Pure Math: Calculate the coordinates of the two points on the curve

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2nd/3ways: trig integral ∫sec(x) dx

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Review: Linear form, Quadratic form & Bilinear form

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2nd way: integral ∫ log √x(x^n) dx

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

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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3 ways: rational function integral ∫2x/(x+1)^2 dx

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Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx

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Screen Recording 2024-05-18 at 10.21.39 PM

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2nd/3part: Maclaurin Series [ahp kia]

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Review: trig tan(x+360)= tan(x) & tan(x+180)=tan(x)

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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trig integral ∫sin(x) cos(x) cos(2x) cos(4x) cos(8x) cos(16x) cos(32x) dx

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Screen Recording 2024-05-13 at 9.18.43 PM

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trig integral ∫1/(1+cos(ax+b)) dx

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

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3rd/10parts: Exclusive disjunction

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Growing patterns #2

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Given events J & K:

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JEE Main integral x^2/(a+bx)^2 dx

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