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2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)
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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 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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1st way: exp ∫(e^x)/x (1+x log(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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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2nd way: integral ∫ log √x(x^n) dx
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count quick review: Permutation vs Combination
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Derivative: Don't blindly use the Quotient Rule every time you see a quotient
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2nd way: trig integral ∫1/(1+sin^2(x))cos^2(x))
2nd/3ways: Laplace Show that ...
Do you know ... paper folding ...
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2nd way: trig integral ∫sin^6(ax+b) cos^6(ax+b) dx
2 ways: Σ 1? where k=m to n
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2 ways: trig integral ∫ sin(ax+b) dx
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