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truffle42
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Homework Statement
Homework Equations
The Attempt at a Solution
i got ln(x-2) but not sure what to do with the 4[/B]
Use ##\int kf(x)~dx = k\int f(x)~dx##. And don't forget the constant of integration.truffle42 said:Homework Statement
Homework Equations
The Attempt at a Solution
i got ln(x-2) but not sure what to do with the 4[/B]
Integration is a mathematical process that involves finding the area under a curve. It is the inverse operation of differentiation and is used to solve problems related to accumulation, such as finding the total distance traveled or the total amount of change over a given time period.
The purpose of integrating 1/4(x-2) is to find the area under the curve of the function 1/4(x-2). This can be used to solve various real-world problems, such as finding the total displacement of an object with a changing velocity or the total revenue of a business with a changing price.
To integrate 1/4(x-2), you can use the power rule of integration, which states that the integral of x^n is (x^(n+1))/ (n+1), where n is any real number except for -1. In this case, since n=1, the integral becomes (x^2)/2. Therefore, the integral of 1/4(x-2) is (1/4)(x^2)/2 + C = (x^2)/8 + C, where C is the constant of integration.
The result of integrating 1/4(x-2) is the antiderivative of the function, which represents the area under the curve. In this case, the result is (x^2)/8 + C, where C is the constant of integration.
The integration of 1/4(x-2) is the inverse operation of differentiation. This means that if you differentiate (x^2)/8 + C, you will get back to the original function 1/4(x-2). Integration and differentiation are closely related and can be used to solve a wide range of mathematical problems.