दर्शाइए कि \( \int_{0}^{a} f(x) g(x) d x=2 \int_{0}^{a} f(x) d x \), यदि \( f \) और \( g \) को \...

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दर्शाइए कि \( \int_{0}^{a} f(x) g(x) d x=2 \int_{0}^{a} f(x) d x \), यदि \( f \) और \( g \) को \( f(x)=f(a-x) \) एवं \( g(x)+g(a-x)=4 \) के रूप में परिभाषित किया गया है।
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