A) \[0\]
B) \[1\]
C) \[-1\]
D) \[\frac{1}{2\sqrt{2}}\]
Correct Answer: A
Solution :
Let \[I=\int_{0}^{\pi }{{{\cos }^{3}}\,\,x\,\,dx}\] ?.(i) \[=\int_{0}^{\pi }{{{\cos }^{3}}\,\,(\pi -x)\,\,dx}\] \[\Rightarrow \] \[I=-\int_{0}^{\pi }{{{\cos }^{3}}\,x\,dx}\] ??(ii) On adding Eqs. (i) and (ii), we get \[2I=0\] \[\Rightarrow \] \[I=0\]You need to login to perform this action.
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