A function y = f(x) satisfies the condition $f (x) s i n x + f (x) c o s x = 1$ , $f (x)$ being bounded when $x \to 0$ . If $| = \frac{π}{2} \int 0 f (x) d x$ then

\frac{π}{2} < | < \frac{π^{2}}{4}

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\frac{π}{4} < | < \frac{π^{2}}{2}

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1 < | < \frac{π}{2}

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0 < | < 1

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Solution

The correct option is B $\frac{π}{4} < | < \frac{π^{2}}{2}$

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A function y = f(x) satisfies the condition f(x)sinx+f(x)cosx=1, f(x) being bounded when x→0. If |=π2∫0f(x)dx then

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A function y = f(x) satisfies the condition $f (x) s i n x + f (x) c o s x = 1$ , $f (x)$ being bounded when $x \to 0$ . If $| = \frac{π}{2} \int 0 f (x) d x$ then

The correct option is B $\frac{π}{4} < | < \frac{π^{2}}{2}$