Final answer to the problem
$\frac{\pi }{2}$
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Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
Solve the integral by applying the formula $\displaystyle\int\frac{x'}{x^2+a^2}dx=\frac{1}{a}\arctan\left(\frac{x}{a}\right)$
$\arctan\left(x\right)$
Learn how to solve improper integrals problems step by step online. Integrate the function 1/(1+x^2) from 0 to infinity. 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). Add the initial limits of integration. Replace the integral's limit by a finite value. Evaluate the definite integral.
Final answer to the problem
$\frac{\pi }{2}$
Exact Numeric Answer
$1.570796$
