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माना की 1= underset( 0)overset( 1)int (...

माना की ` 1= underset( 0)overset( 1)int (2+ 3x+4x^(2))/( 2sqrt(1+x+x^(2))) dx ` है ,तो `I^(2) ` का मान ज्ञात कीजिए।

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BANSAL HINDI-INDEFENITE & DEFINITE INTEGRATION -EXERCISE -2 (SECTION -B (DEFINITE INTEGRATION ) )
  1. ( 5050 underset( 0)overset( 1) int (1- x^(50)) ^(100)dx)/( underset(0...

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

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

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

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

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

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

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

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

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  10. माना की f(x)= {:{ ([ -1], if -2 le x le 0 ),( |x-1| , if 0lt xle 2 ...

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  11. फलन f(x) = {:{( underset( 0)overset( x )int (5+ 2|t-1|) dt , x gt 2 ),...

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  12. यदि y= x ^(underset( 1 )overset( x) int lnt dt ) है , तो (dy)/(dx)...

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  13. अचर 'a' (a gt 0 ) एवं 'b ' ज्ञात करों जो इस प्रकार है की underset(...

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  14. underset( x to infty ) Lim (d)/(dx) underset ( 2 sin ""(1)/(x))overse...

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  15. underset( 0 )overset( infty ) int (lnt )/(x^(2) +t^(2)) dt= ( piln 2...

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  16. underset( a to infty ) Lim (underset(0 )overset( a)int sin ^(4) x dx ...

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  17. underset( x to 0 )Lim (underset( 0)overset( 1)int (by +a( 1-y ) )^(x) ...

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  18. यदि log (beta +3) (alpha ^(2) -2) = log (beta -6) (2alpha -3) =u...

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  19. माना a ,b वास्तविक संख्याये इस प्रकार है की a+b=1 है ,तो समाकलन under...

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  20. एक धनात्मक ,सतत एवं अवकलनीय फलन f ज्ञात करों जो x के प्रत्येक मान के ल...

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