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2 ways: trig integral ∫cos^2(x) dx

4 ViewsMay 30, 2023

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2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.
2:41

2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.

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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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34 Views

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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Review: Linear form, Quadratic form & Bilinear form
9:02

Review: Linear form, Quadratic form & Bilinear form

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logic Idempotent law show x=xVx
1:11

logic Idempotent law show x=xVx

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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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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
0:34

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

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trig Write each expression as an equivalent algebraic expression involving only x.
1:56

trig Write each expression as an equivalent algebraic expression involving only x.

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2024 #3 MIT Integration Bee Final Lightning Round
2:47

2024 #3 MIT Integration Bee Final Lightning Round

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GPT4: A tweet snippet from Michal Kosinski
1:56

GPT4: A tweet snippet from Michal Kosinski

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trig Show sec^4(x)-tan^4(x) = sec^2(x)+tan^2(x)
0:58

trig Show sec^4(x)-tan^4(x) = sec^2(x)+tan^2(x)

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2 ways: derivative (ax+b)^n
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2 ways: derivative (ax+b)^n

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COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))
4:36

COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))

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Growing patterns #3
4:55

Growing patterns #3

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OSU Math 1151 Practice2: Compute the derivative (1)-(8)
6:24

OSU Math 1151 Practice2: Compute the derivative (1)-(8)

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3 ways: If y=x/(1+x^2) find dy/dx.
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3 ways: If y=x/(1+x^2) find dy/dx.

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If x=at^2,, y=2at, then find d2y/dx2
1:36

If x=at^2,, y=2at, then find d2y/dx2

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OSU Math 1151 Practice4: Compute the derivative
9:26

OSU Math 1151 Practice4: Compute the derivative

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Calculus: Find nth derivative of log(ax+b)
3:51

Calculus: Find nth derivative of log(ax+b)

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1 View

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