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Integrate the function $\frac{1}{x^3}$ from 0 to $1$

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 Solution

 Formulas

 Videos

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

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

Integrate the cosine of an exponential expression

https://www.youtube.com/watch?v=EP1jCElfA74

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

Pre-Calculus - Learn how to simplify an exponent raised to a logarithm, 10^(log (0.5))

https://www.youtube.com/watch?v=oJnAoFibZe8

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

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

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

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

 Function Plot

Plotting: $\frac{1}{x^3}$

 Main Topic: Integrals of Exponential Functions

Those are integrals that involve exponential functions. Recall that an exponential function is a function of the form f(x)=a^x.

 Used Formulas

See formulas (1)

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