\(\int \frac{dx}{x^2+6x+25}\) এর মান কত? (What is the value of \(\int \frac{dx}{x^2+6x+25}\)?)
A. \(\tan^{-1}\left(\frac{x+3}{4}\right) + c\)
B. \(\ln\left(\frac{x+3}{4}\right) + c\)
C. \(\frac{1}{4}\tan^{-1}\left(\frac{x+3}{4}\right) + c\)
D. \(\frac{1}{4}\tan^{-1}\left(\frac{x+3}{4}\right) + c\)
সঠিক উত্তরঃ
C.
\(\frac{1}{4}\tan^{-1}\left(\frac{x+3}{4}\right) + c\)