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trig integral โซ1/(1+cos(ax+b)) dx
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Review: Linear form, Quadratic form & Bilinear form
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1st way: exp โซ(e^x)/x (1+x log(x)) dx
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2nd way: integral โซ log โx(x^n) dx
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MP 2000 Hindustan: Evaluate โซ(tan(x)+cot(x))^2 dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
2 ways: log derivative y=ln(a+b)
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exp integral โซ1/(e^(ax+b) (1+e^(ax+b)) dx
2nd/3ways: exp Derivative x^x
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Alternate way: trig integral โซsec(x) dx= ln(tan(/ฯ4+x/2)) + c
2 ways: exp integral โซ(p^x + q^x)/r^x dx
COMMON MISTAKE: (1) logb(m) logb(n) โ logb(m+n)
3rd way: nCr = (n-1)Cr + (n-1)C(r-1)
integral โซ(x^2+2x)/(x^2+2x+2) dx
integral โซ(2x+3)/(4x^2+1) dx
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2nd/4ways: trig derivative sin(x)
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3rd/4ways: trig derivative sin(x)
exp integral โซ (e^2x -1) /(e^2x +1)dx
UC Davis #13: integrate โซ(x+3)(x-1)^5 dx
AP Calculus 2nd way: trig integral โซdx/(4-3cos^2(x)+5sin^2(x)) dx