int1/(144+x^2)dx=?

Explanation:

Another Explanation (5): সমাধান: আমরা জানি, \( \int \frac{1}{a^2 + x^2} dx = \frac{1}{a} \tan^{-1} \left( \frac{x}{a} \right) + C \) এখানে, \( \int \frac{1}{144 + x^2} dx = \int \frac{1}{12^2 + x^2} dx \) সুতরাং, \( a = 12 \) অতএব, \( \int \frac{1}{144 + x^2} dx = \frac{1}{12} \tan^{-1} \left( \frac{x}{12} \right) + C \) সুতরাং, \( \int \frac{1}{144 + x^2} dx = \frac{1}{12} \tan^{-1} \left( \frac{x}{12} \right) \) 🎉