Evaluate the integral
$\int_{0}^{π} (6 \sin (t) - 9 \cos (t)) d t$

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Final Answer: $12$

Steps

Step 1 ：Given the integral $\int_{0}^{π} (6 \sin (t) - 9 \cos (t)) d t$

Step 2 ：First, we need to integrate the function $6 \sin (t) - 9 \cos (t)$ with respect to $t$

Step 3 ：The integral of $\sin (t)$ is $- \cos (t)$ and the integral of $\cos (t)$ is $\sin (t)$

Step 4 ：Substitute the limits of integration $π$ and $0$ into the antiderivative

Step 5 ：Subtract the two results to get the final answer

Step 6 ：The result of the integral calculation is 12

Step 7 ：Final Answer: $12$