QuestionUse integration tables to evaluate the integral $\int_{0}^{\frac{\pi}{2}} 27 x \cos x d x$.

Studdy Solution
Subtract the value at the lower limit from the value at the upper limit: $$27 \left( \frac{\pi}{2} - 1 \right)$$ $$= 27 \cdot \frac{\pi}{2} - 27 \cdot 1$$ $$= \frac{27\pi}{2} - 27$$
Solution: The evaluated integral is: $$\int_{0}^{\frac{\pi}{2}} 27 x \cos x \, dx = \frac{27\pi}{2} - 27$$