Solved example of improper integrals
Solve the integral applying the formula $\displaystyle\int\frac{x'}{x^2+a^2}dx=\frac{1}{a}\arctan\left(\frac{x}{a}\right)$
Calculate the power $\sqrt{1}$
Any expression divided by one ($1$) is equal to that same expression
Solve the integral applying the formula $\displaystyle\int\frac{x'}{x^2+a^2}dx=\frac{1}{a}\arctan\left(\frac{x}{a}\right)$
Replace the integral's limit by a finite value
Evaluate the definite integral
Calculating the arctangent of $0$
Any expression multiplied by $0$ is equal to $0$
Simplifying
Apply the limit $\lim_{x\to\infty}\arctan(x)=\frac{\pi}{2}$
Evaluate the resulting limits of the integral
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