A) 1
B) 2
C) 3
D) 4
Correct Answer: A
Solution :
We have, \[0<x<1\] \[\Rightarrow \] \[0<{{x}^{2}}<x<1\] \[\Rightarrow \] \[{{e}^{{{x}^{2}}}}<{{e}^{x}}\] \[\Rightarrow \] \[\int_{0}^{1}{{{e}^{{{x}^{2}}}}dx<\,\int_{0}^{1}{{{e}^{x}}dx=e-1}}\] \[\Rightarrow \] \[k<e-1\] \[\Rightarrow \] \[[k]=1\]You need to login to perform this action.
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