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Thursday, August 1, 2013

Integration - Powers

Category: Integral Calculus, Algebra

"Published in Newark, California, USA"

Evaluate


Solution:

Consider the given equation above


The terms inside the radical sign has a common factor, which is x. Factor the terms inside the radical sign, we have



The other factor is a perfect trinomial square. Rewrite the above equation in terms of a square of a binomial



Take the square root of the above equation


Apply the distributive property of multiplication over addition to the above equation


Integrate the above equation by power with respect to x, we have









Therefore,


where C is the constant of integration.