Category: Integral Calculus
"Published in Newark, California, USA"
Evaluate
Solution:
Consider the given equation above
Since the given equation is a simple polynomial in terms of x, then we can integrate each term by power formula as follows
Therefore, the answer is
where C is the constant of integration.

This website will show the principles of solving Math problems in Arithmetic, Algebra, Plane Geometry, Solid Geometry, Analytic Geometry, Trigonometry, Differential Calculus, Integral Calculus, Statistics, Differential Equations, Physics, Mechanics, Strength of Materials, and Chemical Engineering Math that we are using anywhere in everyday life. This website is also about the derivation of common formulas and equations. (Founded on September 28, 2012 in Newark, California, USA)
Monday, December 16, 2013
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.
"Published in Newark, California, USA"
Evaluate
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.
Saturday, December 14, 2013
Integration - Algebraic Functions, Powers, 4
Category: Integral Calculus
"Published in Newark, California, USA"
Evaluate
Solution:
Consider the given equation above
Did you notice that the given equation can be integrated by power formula? Well, let's check if we can integrate the given equation by power formula. If u = (3x - 2), then du = 3dx. Since the coefficient of dx which is 3 is missing, then we can provide the missing coefficient as follows
Therefore, the answer is
where C is the constant of integration.
"Published in Newark, California, USA"
Evaluate
Solution:
Consider the given equation above
Did you notice that the given equation can be integrated by power formula? Well, let's check if we can integrate the given equation by power formula. If u = (3x - 2), then du = 3dx. Since the coefficient of dx which is 3 is missing, then we can provide the missing coefficient as follows
Therefore, the answer is
where C is the constant of integration.
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