A) log 2
B) log 7
C) log 11
D) log 13
Correct Answer: C
Solution :
[c] We have \[\int\limits_{0}^{2}{f'(2t){{e}^{f(2t)}}dt=5}\] Put \[{{e}^{f(2t)}}=y\] \[\therefore 2f'(2t){{e}^{f(2t)}}dt=dy\] \[\therefore \frac{1}{2}\int\limits_{{{e}^{f(0)}}}^{{{e}^{f(4)}}}{dy=5}\] Or \[\int\limits_{{{e}^{f(0)}}}^{{{e}^{f(4)}}}{dy=10}\] Or \[{{e}^{f(4)}}-{{e}^{f(0)}}=10\] Or \[{{e}^{f(4)}}=10+1=11\] Or \[f(4)=log11\]
You need to login to perform this action.
You will be redirected in
3 sec
