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UT Austin: 2 ways trig integral ∫sin(2x+1)/cos^2(2x+1) dx
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2nd way: integral ∫ log √x(x^n) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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2 ways: trig derivative log(sec(x/2)+tan(x/2))
Texas Tech: 5 ways trig Differentiate g(x)=cos^2(x)
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picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n
cos(arc sin(x))? & tan(arc sin(x))?
2nd/2 ways: [k-map] logic:Simplify the Boolean function F=A+A'B
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CMU integral ∫1/(x^2 √(16x^2 -19)) dx
Pascal's triangle nth triangular number [examples]
Find the number of subsets {1,{2,3}}
If 2^x + 2^y = 2^(x+y), then dy/dx ?
Conversion: Permutation - Combination vice versa
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A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.
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Pascal's triangle rCk [examples]
2nd/2ways: [k map] logic Simplify the Boolean function F=AB+BC+B'C
AP Calculus 2nd way: integral ∫(1-√x)/(1+√x) dx
UT Austin: trig integral ∫cos(√x)/((√x) sin^2(√x)) dx