?If $f(1)=12, f^{\prime}$ is continuous, and $\int_{1}^{4} f^{\prime}(x) d x=17$

Chapter 4, Problem 79

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If $f(1)=12, f^{\prime}$ is continuous, and $\int_{1}^{4} f^{\prime}(x) d x=17$, what is the value of $f(4)$ ?

Equation Transcription:

$f(1)\ \ =\ \ 12,\ f'$

$\int\limits_{1}^{4}\ f'\ (x)\ \ dx\ \ =\ \ 17$

$f(4)$

Text Transcription:

f(1)=12, f’

int_{1}^{4} f’(x) d x=17

f(4)

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?If \(f(1)=12, f^{\prime}\) is continuous, and \(\int_{1}^{4} f^{\prime}(x) d x=17\)