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count quick review: Permutation vs Combination
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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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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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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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/2ways: count perm Show P(n,2)+P(n,1)=n^2
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Do you know ... paper folding ...
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If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...
5 ways: integral ∫a^(px+q) dx
2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫x^5 √(1+x^3) dx
Lamar U: implicit derivative Find y' for ...
The number of solutions of the equation x^(log10(x)) = 100x
2 ways: The following measurements were taken by an antique dealer as he weighted to the ...
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2 ways: Find a formula for d/dx[f^m(x) g^n(x)], where f & g are differentiable functions ...
2nd way: trig inverse ∫(2012)^x (2012)^ arc (sin(2012)^x)√(1-(2012)^2x) dx
1st/2parts: Linear interpolation (2 given points)