Find the average value of the function f(x) = (6)/(1 + 3x) from x = 1 to x = 5. Write your answer as the logarithm of a single number in simplest form.
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Step 1
To find the definite integral, we can use the formula: ∫[a,b] f(x) dx = F(b) - F(a) where F(x) is the antiderivative of f(x). The antiderivative of f(x) = (6)/(1 + 3x) can be found by using the substitution method. Let u = 1 + 3x, then du = 3dx. Rearranging Show more…
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