Consider the function f ( x ) = 2 x^2 − 9 x^5 . let f ( x ) be the antiderivative of f ( x ) with f ( 1 ) = 0 . then f ( x ).

The expression for the function is F(x) = (2/3)x^3-(3/2)x^6+4/3.

Step-by-step explanation:

If we use indefinite integration we can find the family of antiderivatives of f(x). This means that

is an antiderivative of f(x). The, using the properties of the integral:

Here, C stands for a generic real constant. We use the data F(1)=0 in order to find the exact value of C. Notice that

Then, and

answer:

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step-by-step explanation: