\( \int \frac{dx}{x^2+6x+25} \) 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. \( \frac{1}{4}\tan^{-1}\left(\frac{x+3}{4}\right) + c \)
C. \( \frac{1}{4}\tan^{-1}\left(\frac{4}{x+3}\right) + c \)
D. \( \ln\left(\frac{x+3}{4}\right) + c \)
সঠিক উত্তরঃ
B.
\( \frac{1}{4}\tan^{-1}\left(\frac{x+3}{4}\right) + c \)