Explanation: সুত্রঃ
intdz/(9+z^2 )=1/3tan^-1(z/3)+c
Another Explanation (5):
সমাধান:
আমরা জানি, \( \int \frac{dx}{a^2 + x^2} = \frac{1}{a} \tan^{-1}(\frac{x}{a}) + C \)
এখানে, \( \int \frac{dz}{9 + z^2} = \int \frac{dz}{3^2 + z^2} \)
সুতরাং, \( \int \frac{dz}{3^2 + z^2} = \frac{1}{3} \tan^{-1}(\frac{z}{3}) + C \) 🥳
অতএব, \( \int \frac{dz}{9 + z^2} = \frac{1}{3} \tan^{-1}(\frac{z}{3}) + C \) ✅
উত্তর:
1/3tan^-1(z/3)+c