Suppose that $f$ is a continuous function, and suppose that the following table lists some values of $f(x)$. $x$ | 1 | 2 | 3 | 4 | 5 | 6 ---|---|---|---|---|---|--- $f(x)$ | 3 | 6 | 1 | 5 | 2 | 9 Compute the definite integral $$ int_2^4 frac{f'(x)}{1 + f(x)^2} dx $$ Enter your answer as a decimal number with at least three decimal places.
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Step 1: We are given a table that lists some values of f(x) and we need to compute the definite integral of f'(x) = 1 + f(x)^2. Show more…
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