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Download Solution PDFअवधारणा:
सम और विषम फलनों के समाकलन के नियम,
यदि फलन सम या विषम है और अंतराल [-a, a] है तो हम इन नियमों को लागू कर सकते हैं:
- जब f(x) सम है ⇔
- जब f(x) विषम है ⇔
गणना:
माना f (x) = x5 sin4 x
f (-x) = (-x)5 sin4 (-x) = -x5 (-sin x )4 = -x5 sin4 x
⇒ f(-x) = - f(x)
तो f(x) एक विषम फलन है।
हम जानते हैं कि, जब f(x) विषम है ⇔
इसलिए ,
सही विकल्प 4 है।
Last updated on Jun 18, 2025
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