का मान क्या है?

  1. -
  2. इनमें से कोई नहीं

Answer (Detailed Solution Below)

Option 4 : इनमें से कोई नहीं
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Detailed Solution

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संकल्पना:

cot2 x = cosec2 x - 1 

 

गणना:

I =  

I =  

I =  

I =  

I =  

I =            ...(1)

माना कि sin x = t है। 

x के संबंध में दोनों पक्ष का अवकलन करने पर,

cos x dx = dt   

यदि x = 0 है, तो t = 0 है। 

x = π /4 , तो = t =  

समीकरण (1) में उपरोक्त मानों को रखने पर 

I =   

I =  

I =   

I = ∞  

∴ सही विकल्प 4) है। 

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