The antiderivative of a function, also known as the integral, is found by reversing the process of differentiation.

Given the function f(x) = 4x - 73x, we can find the antiderivative by integrating each term separately.

The antiderivative of 4x is 2x^2 (since the derivative of x^2 is 2x, and we multiply by the constant 4/2 = 2).

The antiderivative of -73x is -36.5x^2 (since the derivative of x^2 is 2x, and we multiply by the constant -73/2 = -36.5).

Therefore, the most general antiderivative of the function f(x) = 4x - 73x is F(x) = 2x^2 - 36.5x^2 + C, where C is the constant of integration.

To check our answer, we can differentiate F(x) and see if we get back the original function f(x). The derivative of 2x^2 is 4x, and the derivative of -36.5x^2 is -73x, so indeed, F'(x) = f(x).

Question

The antiderivative of a function, also known as the integral, is found by reversing the process of differentiation.

Given the function f(x) = 4x - 73x, we can find the antiderivative by integrating each term separately.

The antiderivative of 4x is 2x^2 (since the derivative of x^2 is 2x, and we multiply by the constant 4/2 = 2).

The antiderivative of -73x is -36.5x^2 (since the derivative of x^2 is 2x, and we multiply by the constant -73/2 = -36.5).

Therefore, the most general antiderivative of the function f(x) = 4x - 73x is F(x) = 2x^2 - 36.5x^2 + C, where C is the constant of integration.

To check our answer, we can differentiate F(x) and see if we get back the original function f(x). The derivative of 2x^2 is 4x, and the derivative of -36.5x^2 is -73x, so indeed, F'(x) = f(x).

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The antiderivative of a function, also known as the integral, is found by reversing the process of differentiation.

Given the function f(x) = 4x - 73x, we can find the antiderivative by integrating each term separately.

The antiderivative of 4x is 2x^2 (since the derivative of x^2 is 2x, and we multiply by the constant 4/2 = 2).

The antiderivative of -73x is -36.5x^2 (since the derivative of x^2 is 2x, and we multiply by the constant -73/2 = -36.5).

Therefore, the most general antiderivative of the function f(x) = 4x - 73x is F(x) = 2x^2 - 36.5x^2 + C, where C is the constant of integration.

To check our answer, we can differentiate F(x) and see if we get back the original function f(x). The derivative of 2x^2 is 4x, and the derivative of -36.5x^2 is -73x, so indeed, F'(x) = f(x).

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)f(x) = 4x − 73x

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Find the most general antiderivative of the function.

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