Evaluating integral from zero to infinity
Assignment:
Evaluate the integral from zero to infinity of [sin(x) - x]/x^3 dx using both complex analysis and Ramanujan's master theorem
Provide complete and step by step solution for the question and show calculations and use formulas.
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The standard textbook way to compute the integral of sin(x)/x from minus infinity to plus infinity is to replace this integral by the principal value.
Evaluate the integral from zero to infinity of [sin(x) - x]/x^3 dx using both complex analysis and Ramanujan's master theorem.
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