Integrate the function $x^4$ from $- \infty $ to $-2$

Step-by-step Solution

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Final answer to the problem

The integral diverges.

Step-by-step Solution

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Learn how to solve improper integrals problems step by step online. Integrate the function x^4 from -infinity to -2. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 4. Add the initial limits of integration. Replace the integral's limit by a finite value. Evaluate the definite integral.

Final answer to the problem

The integral diverges.

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Function Plot

Plotting: $x^4$

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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