A) \[\ell n1\]
B) \[\ell n2\]
C) \[\ell ne\]
D) \[\ell n4\]
Correct Answer: A
Solution :
\[g(x)=In(x)\] |
\[f(x)=\frac{1-x\cos x}{1+x\cos x}\] and \[g(f(x)=\ell n\left( \frac{1-x\cos x}{1+x\cos x} \right)\] |
\[I=\int\limits_{-\pi /4}^{\pi /4}{\ell n\left( \frac{1+x\cos x}{1-x\cos x} \right)}dx\] |
Adding, \[2I=\int\limits_{-\pi /4}^{\pi /4}{\ell n(1)}dx=0\] |
\[\Rightarrow \] \[I=0.\] |
You need to login to perform this action.
You will be redirected in
3 sec