Improper Integral – A rational function on an infinite interval – Exercise 6954

Exercise

Evaluate the integral

414x2dx\int_{4}^{\infty} \frac{1}{4-x^2} dx

Final Answer


414x2dx=14ln3\int_{4}^{\infty} \frac{1}{4-x^2} dx=-\frac{1}{4}\cdot\ln 3

Solution

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