Final answer to the problem
$2\pi $
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
The integral of a function times a constant ($8$) is equal to the constant times the integral of the function
Learn how to solve definite integrals problems step by step online.
$8\int\frac{1}{1+x^2}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 8/(x^2+1) from 1 to infinity. The integral of a function times a constant (8) is equal to the constant times the integral of the function. 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.
Final answer to the problem
$2\pi $
