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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt
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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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logic Idempotent law show x=xVx
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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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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e
3rd way: nCr = (n-1)Cr + (n-1)C(r-1)
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trig integral sin(tan(x)) cos(tan(x)) sec^2(x) dx [chain rule in reverse]
1st/2ways: Evaluate trig integral ∫1/(sin(x)+cos(x)) dx
2nd way: Evaluate ∫a/(b+ce^x)dx
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trig integral ∫sec(x) dx =
Alternate way: Evaluate exp integral ∫1/√(1-e^(2x)) dx
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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx
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Man's inner thoughts: It's not impolite