Category: Integral Calculus, Algebra
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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.