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Zootopia 2
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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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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logic Idempotent law show x=xVx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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Show ∫1/(a+btan(x)) dx = ...
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zootopia 2
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Alternate way: exp derivative x^n
exp integral e^2x/(1+e^x) dx
Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..
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Careful: arc sin(sin(5π/4)) ≠ ...
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"baby" fact: exp even odd e^x
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Princeton U: Compute the integral ∫sin^5(x)/cos(x) dx
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1st/2ways: exp e^g(x) (g'(x)f(x) + f'(x)) dx
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UT Austin: sq root integral ∫1/((√x) (1+ √x))dx
Review: trig tan(x+360)= tan(x) & tan(x+180)=tan(x)
2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))
The University of Maine: rational function integral compute