#20 2022 MIT Integration Bee Qualifying Exam

Why the mean of AP is the median of AP? mean=median?

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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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1st way: exp ∫(e^x)/x (1+x log(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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Bijection of elements in tn & a pair of elements of (n+1)

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trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula

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2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS

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prob stat: The following frequency table gives the values obtained

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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2 ways: Find logarithm of 5 to the base 5 √5.

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Find the number of permutations of the letters of the word ALLAHABAD

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UC Davis P#6: 2nd way differentiate y= (√x)^(√x) e^(x^2)

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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set Is there any difference between the meanings of ...

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exp Calculate ∫x^3 3^x dx via IBP

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2 ways: trig integral ∫1/(2+cos^2(x)) dx

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Discrete rv X has the following prob. distribution

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Which of the following do NOT constitute a set & WHY?

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