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2nd way: integral ∫a^log√a(x^n) dx
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2nd way: integral ∫ log √x(x^n) dx
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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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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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2 ways: sq root derivative 1/(√√(1/√x))
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2nd way: trig integral ∫sin(x/a) dx
Suppose E & F are 2 complementary events. Must E & F be mutually exclusive? Explain your answer.
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2nd way: exp integral ∫ dx/x^2014 /(1+1/x^2013)
How many chords can be drawn through 21 points on a circle?
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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?
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matrix example: How to select the column you want ...
prob stat: For events A & B it is known that P(A)=2/3, P(AuB)=3/4 & P(AnB)=5/12. Find P(B)
Which pairs are equivalent via truth table?
prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85
When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?
2nd way: trig integral ∫ √sec^5(x)/√sin^3(x) dx
Rutgers U: 2nd way compute ∫√(x^2 -2)/x dx
AP Calculus 2nd way: 1/(x^2 +2x+2) dx