English: $\overrightarrow{F} \cdot \frac{d\overrightarrow{r}}{d\theta}$ ಇದರ ಮೌಲ್ಯ $\overrightarrow{F} \cdot \frac{d\overrightarrow{r}}{d\theta} = - 9sin^{2}\theta\ - 9cos^{2}\theta\ $, So, this integral F⃗ ⋅ dr⃗, we know that this is equal to $\overrightarrow{F} \cdot \frac{d\overrightarrow{r}}{d\theta}d\theta$.
Kannada: $\overrightarrow{F} \cdot \frac{d\overrightarrow{r}}{d\theta}$ ಇದರ ಮೌಲ್ಯ $\overrightarrow{F} \cdot \frac{d\overrightarrow{r}}{d\theta} = - 9sin^{2}\theta\ - 9cos^{2}\theta\ $, ಆದ್ದರಿಂದ, ಇದು $\overrightarrow{f} \d\overrightarrow{f} \d\overrightarrow{f} \cdot \overrightarrow{F} \cdot \frac{d\overrightarrow{r}}{d\theta}=- 9sin^{2}\theta\ $ , ಆದ್ದರಿಂದ, ಈ ಸಮಗ್ರ F⃗⃗