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.
Category: Integral Calculus
"Published in Newark, California, USA"
Evaluate
Solution:
Consider the given equation above
There are two ways in getting the integral of the given equation with respect to x.
1st Method: We can do the integral of each term by power formula as follows
Therefore,
where C is the constant of integration.
2nd Method: We can do the integral of the whole function by power formula as follows
where u is a function of x and du is the differential of a function with respect to x. In this case, let's consider again the given equation
If u = (x - 7), then du = dx. Since, the power formula is applicable to the given equation, then we can integrate the given equation by power formula as follows
Therefore,
where C is the constant of integration.
