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Review: Linear form, Quadratic form & Bilinear form
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3rd way: nCr = (n-1)Cr + (n-1)C(r-1)
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...
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UC Davis#4 4 ways: integrate 7^(2x+3) dx
2 ways: exp integral ∫(p^x + q^x)/r^x dx
Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c
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exp integral ∫1/(e^(ax+b) (1+e^(ax+b)) dx
exp integral ∫ (e^2x -1) /(e^2x +1)dx
trig integral ∫1/(1+cos(ax+b)) dx
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COMMON MISTAKE: (1) logb(m) logb(n) ≠ logb(m+n)
2 ways: log derivative y=ln(a+b)
integral ∫(x^2+2x)/(x^2+2x+2) dx
integral ∫(2x+3)/(4x^2+1) dx
2nd/3ways: exp Derivative x^x
3rd/4ways: trig derivative sin(x)
Pure Math: Calculate the coordinates of the two points on the curve