The area bounded by the straight lines \[x=0,x=2\]and the curves \[y={{2}^{x}},y=2x-{{x}^{2}}\]is [AMU 2001]

\[\frac{4}{3}-\frac{1}{\log 2}\]

\[\frac{3}{\log 2}+\frac{4}{3}\]

\[\frac{3}{\log 2}-\frac{4}{3}\]

The area bounded by the straight lines \[x=0,x=2\]and the curves \[y={

1.	The area bounded by the straight lines \[x=0,x=2\]and the curves \[y={{2}^{x}},y=2x-{{x}^{2}}\]is [AMU 2001]
A.	\[\frac{4}{3}-\frac{1}{\log 2}\]
B.	\[\frac{3}{\log 2}+\frac{4}{3}\]
C.	\[\frac{4}{\log 2}-1\]
D.	\[\frac{3}{\log 2}-\frac{4}{3}\]
Answer» E.

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The area bounded by the straight lines \[x=0,x=2\]and the curves \[y={{2}^{x}},y=2x-{{x}^{2}}\]is [AMU 2001]

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