If \[\int_{0}^{1}{x\log \left( 1+\frac{x}{2} \right)}\,dx=a+b\log \frac{2}{3},\] then [SCRA 1986]

\[a=\frac{3}{2},\,\,\,b=\frac{3}{2}\]

\[a=\frac{3}{4},\,\,\,b=-\frac{3}{4}\]

\[a=\frac{3}{4},\,\,\,b=\frac{3}{2}\]

If \[\int_{0}^{1}{x\log \left( 1+\frac{x}{2} \right)}\,dx=a+b\log \fra

1.	If \[\int_{0}^{1}{x\log \left( 1+\frac{x}{2} \right)}\,dx=a+b\log \frac{2}{3},\] then [SCRA 1986]
A.	\[a=\frac{3}{2},\,\,\,b=\frac{3}{2}\]
B.	\[a=\frac{3}{4},\,\,\,b=-\frac{3}{4}\]
C.	\[a=\frac{3}{4},\,\,\,b=\frac{3}{2}\]
D.	\[a=b\]
Answer» D. \[a=b\]

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If \[\int_{0}^{1}{x\log \left( 1+\frac{x}{2} \right)}\,dx=a+b\log \frac{2}{3},\] then [SCRA 1986]

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