Use the Fundamental Theorem to determine the value of b if the area under the graph of f(x) = 3x between x = 1 and x = b is equal to 22.5. Assume b > 1.
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Step 1: The area under the graph of \( f(x) = 3x \) between \( x = 1 \) and \( x = b \) is given by the integral of \( f(x) \) from 1 to b, which is equal to \( \frac{3}{2}b^2 - \frac{3}{2} \). Show more…
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