The value of \[\int_{a}^{a+(\pi /2)}{({{\sin }^{4}}x+{{\cos }^{4}}x)\,dx}\] is

\[a\,{{\left( \frac{\pi }{2} \right)}^{2}}\]

The value of \[\int_{a}^{a+(\pi /2)}{({{\sin }^{4}}x+{{\cos }^{4}}x)\,

1.	The value of \[\int_{a}^{a+(\pi /2)}{({{\sin }^{4}}x+{{\cos }^{4}}x)\,dx}\] is
A.	Independent of \[a\]
B.	\[a\,{{\left( \frac{\pi }{2} \right)}^{2}}\]
C.	\[\frac{3\pi }{8}\]
D.	\[\frac{3\pi {{a}^{2}}}{8}\]
Answer» D. \[\frac{3\pi {{a}^{2}}}{8}\]

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The value of \[\int_{a}^{a+(\pi /2)}{({{\sin }^{4}}x+{{\cos }^{4}}x)\,dx}\] is

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