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Integrate the function $\frac{1}{x}$ from 0 to $\infty $

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Solution

Videos

_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=1ct7LUx23io

Definite integral of rational function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=4WJUEXIksH0

Calculus - Evaluating a limit by rationalizing the radical, lim(x tends to 0) (sqrt(x + 1) - 1)/x

https://www.youtube.com/watch?v=v8dIvXm03dw

Calculus - Evaluating a limit at infinity horizontal asymptote, lim(x tends to infinity)(2x-1)/(x+1)

https://www.youtube.com/watch?v=miPOf5lXfpw

Calculus - Evaluating the limit of a continuous function, lim(x tends to 5) (x + 1)

https://www.youtube.com/watch?v=CvzzXuAD_AE

Definite integral of trig function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=ldLdWj6DLTw

Function Plot

Plotting: $\frac{1}{x}$

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Main Topic: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

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