A) 1
B) \[-1\]
C) 0
D) None of these
Correct Answer: C
Solution :
Let\[I=\int_{0}^{\pi }{{{e}^{{{\cos }^{2}}x}}{{\cos }^{5}}3x\,dx=\int_{0}^{\pi }{{{e}^{{{\cos }^{2}}x}}{{\cos }^{5}}3(\pi -x)dx}}\], \[[\because \int_{0}^{a}{f(x)dx=}\int_{0}^{a}{f(a-x)dx]}\] \[I=-\int_{0}^{\pi }{{{e}^{{{\cos }^{2}}x}}{{\cos }^{5}}3xdx=-I}\]Þ \[2I=0\Rightarrow I=0\].You need to login to perform this action.
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