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.
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.
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 get the product of two binomials as follows
Next, get the integral of each term with respect to x as follows
Therefore, the answer is
where C is the constant of integration.
