Given:
\[
\int_{0}^{8} f(x) \, dx = 171
\]
The shaded region over \([6,8]\) has an area of 9, so:
\[
\int_{6}^{8} f(x) \, dx = 9
\]
Using the property of definite integrals:
\[
\int_{0}^{8} f(x) \, dx = \int_{0}^{6} f(x) \, dx + \int_{6}^{8} f(x) \,
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