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3 ways: trig integral ∫sin([118]) cos([118]) d[118]
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1st/3parts: Checkpoint 1.1 STPM Math T Sem2
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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count quick review: Permutation vs Combination
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Example: Find the sum
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Review Add Math: 1.2/parts: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers
trig integral ∫sin(2x) cos(2x)/(9-cos^4(2x)) dx
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2nd way: integral ∫x/(a-bx^4) dx
integral ∫1/((px-q)^2+r) dx
If x=at^2,, y=2at, then find d2y/dx2
Determine the equation of the normal drawn to the astroid ...
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prob stat: Show if y=ax+b where a & b are constants then ȳ = ax̄ + b
4 ways: trig integral ∫tan(x) dx
trig integral ∫x sec^5(x^2) tan(x^2) dx
1st/10 parts: Logical disjunction
2nd/2 parts: 2 (elementary) rules