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#10 2023 MIT Integration Bee Qualifying Exam

0 Lượt xem27/11/2023

∫ ((1-x)^3 +(x-x^2)^3+(x^2-1)^3-3(1-x)(x-x^2)(x^2-1)) dx.
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Nhận Thua
3:36

Nhận Thua

bili_1990039280bili_1990039280

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cách vẽ tóc
0:36

cách vẽ tóc

Dung Pham_8441Dung Pham_8441

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cách upload hình
1:13

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Đức Anh Đặng_1771Đức Anh Đặng_1771

1 Lượt xem

Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?
1:11

Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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5 Lượt xem

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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11 Lượt xem

MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
1:23

MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"
8:49

alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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4 Lượt xem

U North Texas Integration Bee 2nd way: x^2/√(x-1) dx
2:02

U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

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1 Lượt xem

1st way: exp ∫(e^x)/x (1+x log(x)) dx
1:49

1st way: exp ∫(e^x)/x (1+x log(x)) dx

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22 Lượt xem

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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23 Lượt xem

AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
0:45

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

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9 Lượt xem

2nd way: integral ∫ log √x(x^n) dx
1:00

2nd way: integral ∫ log √x(x^n) dx

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65 Lượt xem

Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
5:18

Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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23 Lượt xem

Pantun Melayu [Buah cempedak di luar pagar]
0:28

Pantun Melayu [Buah cempedak di luar pagar]

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19 Lượt xem

2 ways of "counting" (a+b)^2 = a^2+2ab+b^2
2:50

2 ways of "counting" (a+b)^2 = a^2+2ab+b^2

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2 ways: trig integral ∫sec^2(ax+b) tan(ax+b) dx
2:26

2 ways: trig integral ∫sec^2(ax+b) tan(ax+b) dx

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1 Lượt xem

2 ways: trig integral cos^2(x) sin^2(x) dx
2:21

2 ways: trig integral cos^2(x) sin^2(x) dx

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2 ways: integral 1 dx
1:41

2 ways: integral 1 dx

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Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane
1:42

Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
4:36

Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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