If \[{{I}_{1}}=\int\limits_{0}^{\pi }{xf({{\sin }^{3}}x+{{\cos }^{2}}x)dx}\] and \[{{I}_{2}}=\pi \int\limits_{0}^{\pi /2}{f({{\sin }^{3}}x+{{\cos }^{2}}x)dx}\], then

If \[{{I}_{1}}=\int\limits_{0}^{\pi }{xf({{\sin }^{3}}x+{{\cos }^{2}}x

1.	If \[{{I}_{1}}=\int\limits_{0}^{\pi }{xf({{\sin }^{3}}x+{{\cos }^{2}}x)dx}\] and \[{{I}_{2}}=\pi \int\limits_{0}^{\pi /2}{f({{\sin }^{3}}x+{{\cos }^{2}}x)dx}\], then
A.	\[{{I}_{1}}=2{{I}_{2}}\]
B.	\[2{{I}_{1}}={{I}_{2}}\]
C.	\[{{I}_{1}}={{I}_{2}}\]
D.	\[{{I}_{1}}+{{I}_{2}}=0\]
Answer» D. \[{{I}_{1}}+{{I}_{2}}=0\]

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If \[{{I}_{1}}=\int\limits_{0}^{\pi }{xf({{\sin }^{3}}x+{{\cos }^{2}}x)dx}\] and \[{{I}_{2}}=\pi \int\limits_{0}^{\pi /2}{f({{\sin }^{3}}x+{{\cos }^{2}}x)dx}\], then

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