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Alternate way: log integral ∫1/(bx+xln(ax^r)) dx
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1st/3parts: Checkpoint 1.1 STPM Math T Sem2
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Pantun Melayu [Buah cempedak di luar pagar]
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
Growing patterns #2
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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
2 ways: trig integral ∫sec^2(x) csc^2(x) dx
UT Austin: trig integral ∫18 tan^2(x) sec^2(x)/(2+tan^3(x))^2 dx
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2nd/2ways: count perm Show P(n,n)=P(n,n-1)
3rd way: rational function integral ∫x^3/√ (1+x^2) dx
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2nd way: integral ∫1/(a + √√b (x^2)) dx
inverse trig integral ∫x arc sec(x^2)/(x^2 √(x^2-1)) dx
1st/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0
1st/parts: Derivative of the inverse circular functions
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Alternate way exp derivative (logf(x)(g(x)))^a
Solve √(2x-5) -√(x-2) = 2
3 ways: trig integral ∫sec^2(x) tan(x) dx