Final Answer
$-2nf+\frac{2}{3}i^{3}n^{3}f^{3}$
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Step-by-step Solution
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1
Simplifying
$\int_{-inf}^{inf}\left(1+x^2\right)dx$
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$\int_{-inf}^{inf}\left(1+x^2\right)dx$
Learn how to solve problems step by step online. Integrate the function 1/1+x^2 from -inf to inf. Simplifying. Expand the integral \int_{-inf}^{inf}\left(1+x^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-inf}^{inf}1dx results in: -2nf. The integral \int_{-inf}^{inf} x^2dx results in: \frac{2}{3}i^{3}n^{3}f^{3}.
Final Answer
$-2nf+\frac{2}{3}i^{3}n^{3}f^{3}$