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count quick review: Permutation vs Combination
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MPPET 1996 Hindustan: trig integral β« sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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2nd way: integral β« log βx(x^n) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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RPET 2003 Hindustan: integral β«sin^4(x)-cos^4(x) dx
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4 ways: trig integral β«sin(x) cos(x) dx
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Alternate way: integral β«ax+b dx
9Screen Recording 2023-12-02 at 2.43.56 AM
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Suppose E & F are 2 complementary events. Must E & F be mutually exclusive? Explain your answer.
2nd/3ways: exp Derivative x^x
2 ways: The following measurements were taken by an antique dealer as he weighted to the ...
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Derivative d/dx(x^x) NOT equal ...
trig integral sin(tan(x)) cos(tan(x)) sec^2(x) dx [chain rule in reverse]
Find 1) E(X) 2) E(3X) 3) E(3x+2)
2nd way: integral β«1/(a + ββb (x^2)) dx
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2 ways: Ξ£ 1? where k=m to n
trig Evaluate ππππππππ β« β(cos(x)-cos^3(x)) dx
2nd way: trig Evaluate ππππππππ β« cos^2(x) sin^3(x) dx
Alternate way: trig integral β«sin(x) dx
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#14 MIT 2022 Integration Bee Qualifying Exam