trig integral ∫ cos(6x+pi/12) dx

logic: Show p→q ≡¬ p∨q

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logic Idempotent law show x=xVx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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Always ZERO

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3 ways: If y=x/(1+x^2) find dy/dx.

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3rd/3ways: sum Show 1+2+3+...+n = n(1+n)/2

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2nd part/3parts: Mean of -11,-2,7,...,70 SAME as Mean -11 & 70

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

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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

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trig integral ∫1/(√sin(x) √cos^7(x)) dx

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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3 ways: trig integral ∫tan(x) sec^2(x) dx

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trig integral ∫cot(x) log(sin(x)) dx

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2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.

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Screen Recording 2024-05-19 at 9.45.17 PM

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2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)

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radical function sq root Find the derivative of f(x) = √(x+1)

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trig Show cos(4x) = 8 cos^4(x) -cos^2(x)+1

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The University of Maine: rational function integral compute

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derivative log f(g(x)) (a)

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