QuestionEvaluate the integral $\int e^{2 \theta} \sin 3 \theta d \theta$.

Studdy Solution
implify the equation to get the final answer.
$$\int e^{2 \theta} \sin3 \theta d\theta = -\frac{3}{13}e^{2 \theta}\cos3 \theta + \frac{2}{13}e^{2 \theta}\sin3 \theta + C$$Where C is the constant of integration.
So, the solution to the integral $\int e^{2 \theta} \sin3 \theta d \theta$ is $-\frac{3}{13}e^{2 \theta}\cos3 \theta + \frac{2}{13}e^{2 \theta}\sin3 \theta + C$.