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a ge 2 के लिए यदि निश्चित समाकलन under...

` a ge 2` के लिए यदि निश्चित समाकलन ` underset0 oversetinfty int (dx)/( a^(2) +(x-(1//x))^(2))` का मान `(pi)/(5050) ` है तो a का मान ज्ञात कीजिए।

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The correct Answer is:
` 2525`
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BANSAL HINDI-INDEFENITE & DEFINITE INTEGRATION -EXERCISE -2 (SECTION -B (DEFINITE INTEGRATION ) )
  1. यदि निश्चित समाकलन 1= underset(0)overset( 2) int (3x^(2) -3x+ 1) cos ...

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  2. underset( -sqrt2)overset(sqrt2)int (2x^(7) +3x^(6) -10 x ^(5) -7x^(3) ...

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  3. a ge 2 के लिए यदि निश्चित समाकलन underset0 oversetinfty int (dx)/( a...

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  4. underset( -2)overset( 2)int (x^(2)- x)/( sqrt(x^(2) +4)) dx

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  5. u= underset( 0)overset( pi//4) int ((cos x )/( sin x +cos x) ) ^(2)...

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  6. underset( 0)overset( 1) int( sin ^(-1) sqrtx)/( x^(2) - x+1) dx

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  7. underset(1) overset( (1+ sqrt5)/(2))int (x^(2) +1)/( x^(4) -x^(2) +1) ...

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  8. निश्चित समाकलन underset0 overset pi int |sqrt2 sin x +2 cos x |dx क...

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  9. एक सतत वास्तविक फलन f सम्बन्ध f(2x) =3f( x) AA x in R को संतुष्ट करत...

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  10. माना Un = underset( 0)overset((pi)/(2))int sin ^(-1) ""(2x)/( 1+x^(2...

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  11. underset( 0)overset( sqrt3) int sin ^(-1) ""(2x)/( 1+x^(2)) dx

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  12. ( 5050 underset( 0)overset( 1) int (1- x^(50)) ^(100)dx)/( underset(0...

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  13. यदि underset( 0)overset(npi ) int (x | sin x| )/( 1+|cos x|) dx ( n ...

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  14. माना की 1= underset( 0)overset( 1)int (2+ 3x+4x^(2))/( 2sqrt(1+x+x^(2...

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  15. दर्शाये की दोनों समाकलन का योग underset(-4) overset(-5) int e^((x+5)^...

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  16. माना F(x) =max . (sin pix , cos pi x ) है,तो (pi)/(4sqrt2) underset...

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  17. underset( 0)overset( pi//2) int tan ^(-1) [(sqrt(1+sin x)+sqrt( 1-sin...

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  18. underset(-1) overset(1) int ((2x^(332)+x^(998) +4x ^(1668) sin x ^(691...

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  19. माना की I= underset(0) overset( pi//2) int (cos x +4) /( 3 sin x +4...

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  20. माना y= f(x) एक द्विघातीय फलन है जहाँ f'(2) =1 है , तो समाकलन unde...

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