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Integrate the function $\frac{1}{x^4}$ 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

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

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

When an integral defined function is 0

https://www.youtube.com/watch?v=W20SoZiJOHU

Evaluate for Theta Between 0 and 2pi

https://www.youtube.com/watch?v=0X9sbjfbBG0

Function Plot

Plotting: $\frac{1}{x^4}$

Similar Problems Solved

Evaluate the integral

$\int_0^{\infty}\left(\frac{1}{x^2}\right)dx$

Evaluate the integral

$\int_0^1\left(\frac{3}{x^5}\right)dx$

Evaluate the integral

$\int_1^{\infty}\left(\frac{1}{x^2}\right)dx$

Evaluate the integral

$\int_1^{\infty}\left(\frac{ln\left(x\right)}{x}\right)dx$

Evaluate the integral

$\int_1^{\infty}\left(\frac{lnx}{x}\right)dx$

Evaluate the integral

$\int_1^{\infty}\left(\frac{1}{x^3}\right)dx$

Evaluate the integral

$\int_{-\infty}^0\left(\frac{1}{\sqrt{3-x}}\right)dx$

Main Topic: Improper Integrals

An improper integral is the limit of a definite integral as an endpoint of the interval(s) of integration approaches either a specified real number that is not part of the function's domain, or infinity.

Used Formulas

See formulas (1)

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