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int sqrt((cosec x -cot x)/( cosec x+cot ...

` int sqrt((cosec x -cot x)/( cosec x+cot x)). (sec x)/( sqrt(1+2sec x ))dx `

लिखित उत्तर

Verified by Experts

The correct Answer is:
` sin ^(-1) ( (1)/(2) sec ^(2) ""(x)/(2))` +C `
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BANSAL HINDI-INDEFENITE & DEFINITE INTEGRATION -EXERCISE -2 (SECTION -A (INDEFINITE INTEGRATION ) )
  1. int ( dx)/( cot ""(x)/(2) . cot ""( x)/(3) . cot ""(x)/(6))

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  2. int (tan (ln x )tan (ln ""(x)/(2) ) tan ( ln 2) )/( x ) dx

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  3. int sqrt((cosec x -cot x)/( cosec x+cot x)). (sec x)/( sqrt(1+2sec x )...

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  4. int (ln ((x -1)/(x+1)))/(x^2 - 1)dx बराबर है:

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  5. int[((x)/(e))^(x) +((e)/( x))^(x)] lnx dx

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  6. int sqrt(( sin (x-a))/( sin (x+a)) )

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  7. int ( x^(5) +3x^(4) -x^(3) +8x^(2) -x+8)/( x^(2) + 1) dx

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  8. int ( (sqrtx+1) dx)/( sqrtx (""^(3) sqrtx+1))

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  9. int ( x ln x )/( (x^(2) - 1)^(3//2) ) dx

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  10. int ( cot x dx )/( (1- sin x) ( sec x + 1))

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  11. int ( 3x^(2) +1)/( (x^(2) - 1)^(3) )dx

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  12. निम्न अनिश्चित समाकलनों को ज्ञात कीजिए : int((ax^(2)-b)dx)/(xsqrt(c^...

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  13. int (dx)/( (x+ sqrt(x(1+x)))^(2))

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  14. int underline (( e^(sqrtx)-e^(-sqrtx))cos ( e^(sqrtx)+ e^(-sqrtx)+(pi)...

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  15. int e^(sin x) (x cos^(3)x-sin x)/(cos^(2)x)dx किसके बराबर है?

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  16. निम्न अनिश्चित समाकलनों को ज्ञात कीजिए : int(5x^(4)+4x^(5))/((x^(5)+...

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  17. निम्न अनिश्चित समाकलनों को ज्ञात कीजिए : int(sinx)^(-11//3)(cosx)^(-...

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  18. मान ज्ञात कीजिए int (dx)/(sqrt(sin ^(3) x sin (x+alpha))).

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  19. int(dx)/( sin x + secx )

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  20. int ( (1+ x^(2))dx) /( 1-2x^(2) cos alpha +x^(4))alpha in (0, pi)

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