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Sunday, December 15, 2013

Integration - Algebraic Functions, Powers, 5

Category: Integral Calculus

"Published in Newark, California, USA"



Consider the given equation above

The first thing that we have to do is to check if the given equation can be integrated by power formula or not. If u = (3x - 2), then du = 3dx. Since xdx is present in the equation instead of 3dx, then we cannot integrate the given equation using integration by power formula. Let's consider the given equation again

Expand the equation and simplify, we have

Integrate each term by power formula, we have

Therefore, the answer is

where C is the constant of integration.