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

Step-by-step Solution

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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 1/(x-3) from -1 to 1. Apply the formula: \int\frac{n}{x+b}dx=nsign\left(x\right)\ln\left(x+b\right)+C, where b=-3 and n=1. Replace the integral's limit by a finite value. Evaluate the definite integral. Simplify the expression.

Final answer to the problem

The integral diverges.

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Function Plot

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

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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.

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