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Saturday, December 21, 2013

Integration - Algebraic Functions, Powers, 11

Category: Integral Calculus

"Published in Newark, California, USA"

Evaluate


Solution:

Consider the given equation above


Since the term inside the square root sign is also x, then we can rewrite the given equation as follows





Apply the integration by power formula, we have








Therefore, the answer is


where C is the constant of integration.
 

Friday, December 20, 2013

Integration - Algebraic Functions, Powers, 10

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 square the given equation as follows





Apply the integration by power formula, we have








Therefore, the answer is


where C is the constant of integration.
 

Thursday, December 19, 2013

Integration - Algebraic Functions, Powers, 9

Category: Integral Calculus

"Published in Newark, California, USA"

Evaluate


Solution:

Consider the given equation above


Since the denominator consists of only one term, then we can rewrite the given equation as follows






Apply the integration by power formula, we have






Therefore, the answer is


where C is the constant of integration.