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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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
1st way: exp ∫(e^x)/x (1+x log(x)) dx
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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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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
count quick review: Permutation vs Combination
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integral ∫1/((px-q)^2+r) dx
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2nd way: integral ∫x/(a-bx^4) dx
3rd/3ways: count comb A set with n elements has 2^n subsets
prob stat: Show if y=ax+b where a & b are constants then ȳ = ax̄ + b
trig integral ∫sin(2x) cos(2x)/(9-cos^4(2x)) dx
4 ways: trig integral ∫tan(x) dx
Find the power set of X if a) X= {a,b} b) X={a,b,c}
exp integral ∫(e^x +1)^3 dx
Find the number of different 8 letter arrangements that can be made from the letters of the word ..
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trig integral ∫x sec^5(x^2) tan(x^2) dx