Free counters!

Sunday, December 15, 2013

Integration - Algebraic Functions, Powers, 5

Category: Integral Calculus

"Published in Newark, California, USA"

Evaluate


Solution:

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.