Discover the Integral of (k/x)-1/2 | Solve with Our Step-by-Step Guide

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SUMMARY

The integral of the function (k/x) - 1/2 can be solved using the power rule for integration. The inner function (k/x) is treated as k * (x^(-1)), where k is a constant. By rewriting (1/x)^(-1/2) in the form of x^a, the integration can be performed by applying the power rule, resulting in the final expression for the integral. This method is essential for solving similar integrals in calculus.

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Homework Statement



Integral of (k/x)-1/2

Homework Equations





The Attempt at a Solution


2(k/x)1/2

How do I find the integral of the inner function (k/x)?
 
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K is a constant, i presume. Put (1/x)^(-1/2) under the classical form x^a. Find a then apply the rules for integrating x^a you (probably) learned in class.
 

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