A function \[y=f(x)\] satisfies the condition \[f'(x)\sin x+f(x)\cos x=1\] being bounded when\[x\to 0\]. If\[l=\int_{0}^{\pi /2}{f(x)dx}\], then

\[\frac{\pi }{4}<l<\frac{{{\pi }^{2}}}{2}\]

A function \[y=f(x)\] satisfies the condition \[f'(x)\sin x+f(x)\cos x

1.	A function \[y=f(x)\] satisfies the condition \[f'(x)\sin x+f(x)\cos x=1\] being bounded when\[x\to 0\]. If\[l=\int_{0}^{\pi /2}{f(x)dx}\], then
A.	\[\frac{\pi }{2}<l<\frac{{{\pi }^{2}}}{4}\]
B.	\[\frac{\pi }{4}<l<\frac{{{\pi }^{2}}}{2}\]
C.	\[1<l<\frac{\pi }{2}\]
D.	\[0<l<1\]
Answer» B. \[\frac{\pi }{4}<l<\frac{{{\pi }^{2}}}{2}\]

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A function \[y=f(x)\] satisfies the condition \[f'(x)\sin x+f(x)\cos x=1\] being bounded when\[x\to 0\]. If\[l=\int_{0}^{\pi /2}{f(x)dx}\], then

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