#14 2014 MIT Integration Bee Qualifying Exam

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Compute the arithmetic mean for the following grouped data ...

3:42

Compute the arithmetic mean for the following grouped data ...

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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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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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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2 ways: sq root derivative 1/(√√(1/√x))

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2 ways: sq root derivative 1/(√√(1/√x))

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

1:23

A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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STPM Math T Sem.2 Exponential fun: Find the derivative (19)-(40)

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STPM Math T Sem.2 Exponential fun: Find the derivative (19)-(40)

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

4:48

prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

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

1:30

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

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2nd way: integral ∫1/x log mb(x) dx

1:14

2nd way: integral ∫1/x log mb(x) dx

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UT Austin: trig integral ∫(1-cos^2(x/2))^2 sin(x/2) dx

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UT Austin: trig integral ∫(1-cos^2(x/2))^2 sin(x/2) dx

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Screen Recording 2024-05-05 at 11.14.54 PM

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Screen Recording 2024-05-05 at 11.14.54 PM

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2nd way: trig integral ∫sin(x/a) dx

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2nd way: trig integral ∫sin(x/a) dx

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

1:12

prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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3 ways: derivative a^(f(x)g(x))

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3 ways: derivative a^(f(x)g(x))

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Alternate way: exp derivative x^n

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Alternate way: exp derivative x^n

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Which of the following statements are true, & why?

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Which of the following statements are true, & why?

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Which of the following data sets has a median of 3?

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Which of the following data sets has a median of 3?

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