Question
Find $f$ . $f^{\prime \prime}(x)=8 x^{3}+5, \quad f(1)=0, \quad f^{\prime}(1)=8$
Step 1
To find the first derivative $f'(x)$, we integrate $f''(x)$ with respect to $x$: $$ f'(x) = \int f''(x) dx = \int (8x^3 + 5) dx = 2x^4 + 5x + C, $$ where $C$ is the constant of integration. Show more…
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