Question
यदि , है, तो दर्शाइए कि :
है। इस प्रकार ज्ञात कीजिए।
Answer :
Word Count : 359
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हमारे पास दिया है: $$ I_{m,n} = \int x^m (\log x)^n \, dx $$ इसे आंशिक समाकलन (integration by parts) से हल किया जा सकता है। चरण 1: आंशिक समाकलन लागू करें आंशिक समाकलन का नियम है: $$ \int u \, dv = uv - \int v \, du $$ यहाँ हम चुनते हैं: $$ u = (\log x)^n ________ ____ _______ ___ ________ ____ ____.
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