Explanation: 
Another Explanation (5):
সমাধান:
আমরা জানি, \(a \ln x = \ln x^a\)। সুতরাং,
\(4 \ln x = \ln x^4\)
তাহলে, \(4e^{4\ln x} = 4e^{\ln x^4} = 4x^4\) 🎉
এখন, \(\int \frac{4e^{4\ln x}}{x^5} dx = \int \frac{4x^4}{x^5} dx = 4 \int \frac{1}{x} dx\) 🎈
আমরা জানি, \(\int \frac{1}{x} dx = \ln |x| + C\) 🎊
সুতরাং, \(4 \int \frac{1}{x} dx = 4 \ln |x| + C = \ln x^4 + C\) 🎁
অতএব, \(\int \frac{4e^{4\ln x}}{x^5} dx = \ln x^4 + C\)। 💖
