Find an antiderivative F (x) with F' (x) = f (x) = 4 + 28x^3 + 15x^4 and F (1) = 0. Remember to include a "+ C" if appropriate. F (x) =
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Step 1:** Find the antiderivative of the function f(x) = 4 + 28x^3 + 15x^4: Integrating term by term, we get: ∫(4 + 28x^3 + 15x^4) dx = 4x + 28(x^4)/4 + 15(x^5)/5 + C Simplify to get: F(x) = 4x + 7x^4 + 3x^5 + C ** Show more…
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