Final Answer
Step-by-step Solution
Problem to solve:
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Solve the integral by 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
Learn how to solve definite integrals problems step by step online.
$\left[\arctan\left(x\right)\right]_{0}^{\infty }$
Learn how to solve definite integrals problems step by step online. Integrate the function 1/(1+x^2) from 0 to \infty. Solve the integral by 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. Simplifying.