#1 2019 MIT Integration Bee Final

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Screen Recording 2024-05-18 at 10.21.39 PM

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Screen Recording 2024-05-18 at 10.21.39 PM

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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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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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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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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integral ∫ x dx withOUT using Power rule.

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integral ∫ x dx withOUT using Power rule.

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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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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx

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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx

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2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub

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2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub

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prob stat: A bag contains 5 red balls & 3 green balls. A ball is drawn at random &

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prob stat: A bag contains 5 red balls & 3 green balls. A ball is drawn at random &

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NYU: compute integral ∫√(1+ √x) dx

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NYU: compute integral ∫√(1+ √x) dx

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Screen Recording 2024-05-19 at 11.13.23 PM

1:22

Screen Recording 2024-05-19 at 11.13.23 PM

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

1:28

Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...

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UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...

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Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx

1:57

Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx

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NYU: 3 ways ∫(1+ln(x))/x dx

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NYU: 3 ways ∫(1+ln(x))/x dx

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Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx

2:59

Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx

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

3:51

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

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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