More Integration Procedures, 4

Category: Integral Calculus, Algebra

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Evaluate

Solution:  

The above equation cannot be integrated by a simple integration. In this type of equation, we will use the reciprocal substitution in order to simplify the equation and then integrate by a simple integration. Let's consider the above equation

Let 

so that

Substitute the values of x and dx to the above equation, we have

but

Therefore,

or