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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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2 ways: integral ∫(x-a)/(x+a) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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trig Write each expression as an equivalent algebraic expression involving only x.
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A man often eats after evening workouts—here’s what an old Chinese medicine doctor immediately warns
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1) integral ∫x/(1+x) dx vs 2) integral ∫sin(x) cos(x)/(1+ sin(x)) dx
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U Arizona: 2nd way For each integral decide which of the following is needed: ...
2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub
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prob stat Toss a pair of fair 6-sided dice. The sample space has 36 outcomes.
sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n
UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...
Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub
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logic: Simplify the Boolean function F=AB+(AC)'+AB'C(AB+C)
prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
matrix example: How to select the column you want ...
1) integral ∫1/5 dx/(1+x) vs 2) integral ∫sec^(5x)/(1+ tan(5x)) dx
Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx
doneScreen Recording 2024-05-18 at 10.25.20 PM