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