#1 2017 MIT Integration Bee Qualifying Exam

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Which of the following statements are true, & why?

4:13

Which of the following statements are true, & why?

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(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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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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logic Idempotent law show x=xVx

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logic Idempotent law show x=xVx

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

0:56

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

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Swinburne U 2nd way: e^(-e^x) e^x dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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Review: Linear form, Quadratic form & Bilinear form

9:02

Review: Linear form, Quadratic form & Bilinear form

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integral ∫ x dx withOUT using Power rule.

1:32

integral ∫ x dx withOUT using Power rule.

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

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

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2 ways: integral ∫(a^2-x^2) dx

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2 ways: integral ∫(a^2-x^2) dx

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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prob stat Toss a pair of fair 6-sided dice. The sample space has 36 outcomes.

4:13

prob stat Toss a pair of fair 6-sided dice. The sample space has 36 outcomes.

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Rutgers U: Verify using calculus

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Rutgers U: Verify using calculus

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U Arizona: For each integral decide which of the following is needed:

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U Arizona: For each integral decide which of the following is needed:

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UC Davis #1 integral 1/(1+√x) dx via power sub.

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UC Davis #1 integral 1/(1+√x) dx via power sub.

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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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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]

1:43

2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]

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U Penn: Assuming g(x) is a continuous function whose derivative g'(x) is also continuous, evaluate .

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U Penn: Assuming g(x) is a continuous function whose derivative g'(x) is also continuous, evaluate .

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Find the derivative of f(x)=a via 1st principle

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Find the derivative of f(x)=a via 1st principle

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