How to Solve the Integral of cf(x)dx with Respect to x

∫ cf(x)dx

The expression ∫ cf(x)dx represents the integral of the function cf(x) with respect to x

The expression ∫ cf(x)dx represents the integral of the function cf(x) with respect to x. Here, c is a constant.

To solve this integral, we can use a property of integration that allows us to move the constant outside of the integral. This property states that ∫ k*f(x)dx = k * ∫ f(x)dx, where k is a constant.

Applying this property to the given integral, we get:

∫ cf(x)dx = c * ∫ f(x)dx

So, the integral of cf(x)dx is equal to the constant c multiplied by the integral of f(x)dx.

In simpler terms, this means that integrating a constant multiple of a function is the same as integrating the function and then multiplying the result by that constant.

It is important to note that this property holds true for all constants, regardless of their value. Therefore, the constant c can be positive, negative, or zero.

More Answers: