The area enclosed by \[y={{x}^{2}}+\cos x\] and its normal at \[x=\frac{\pi }{2}\] in the first quadrant is

\[\frac{{{\pi }^{5}}}{32}-\frac{{{\pi }^{4}}}{64}+\frac{{{\pi }^{3}}}{32}+1\]

\[\frac{{{\pi }^{5}}}{16}-\frac{{{\pi }^{4}}}{32}+\frac{{{\pi }^{3}}}{24}-1\]

\[\frac{{{\pi }^{5}}}{32}-\frac{{{\pi }^{4}}}{32}+\frac{{{\pi }^{3}}}{16}\]

\[\frac{{{\pi }^{5}}}{32}-\frac{{{\pi }^{4}}}{32}+\frac{{{\pi }^{3}}}{24}+1\]

The area enclosed by \[y={{x}^{2}}+\cos x\] and its normal at \[x=\fra

1.	The area enclosed by \[y={{x}^{2}}+\cos x\] and its normal at \[x=\frac{\pi }{2}\] in the first quadrant is
A.	\[\frac{{{\pi }^{5}}}{32}-\frac{{{\pi }^{4}}}{64}+\frac{{{\pi }^{3}}}{32}+1\]
B.	\[\frac{{{\pi }^{5}}}{16}-\frac{{{\pi }^{4}}}{32}+\frac{{{\pi }^{3}}}{24}-1\]
C.	\[\frac{{{\pi }^{5}}}{32}-\frac{{{\pi }^{4}}}{32}+\frac{{{\pi }^{3}}}{16}\]
D.	\[\frac{{{\pi }^{5}}}{32}-\frac{{{\pi }^{4}}}{32}+\frac{{{\pi }^{3}}}{24}+1\]
Answer» E.

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The area enclosed by \[y={{x}^{2}}+\cos x\] and its normal at \[x=\frac{\pi }{2}\] in the first quadrant is

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