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मान ज्ञात कीजिए int (dx)/(sqrt(sin ^(3) ...

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

लिखित उत्तर

Verified by Experts

The correct Answer is:
` C - (2)/( sin alpha ) sqrt((sin (x+a))/( sin x) ) `
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BANSAL HINDI-INDEFENITE & DEFINITE INTEGRATION -EXERCISE -2 (SECTION -A (INDEFINITE INTEGRATION ) )
  1. int (dx)/( (x+ sqrt(x(1+x)))^(2))

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

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

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

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

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

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

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

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

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  10. int ( f'(x) g(x) -g' (x) f(x))/( (f( x)+ g(x) ) sqrt( f(x) g(x) - g^(...

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  11. int (dx)/( cos ^(3) x - sin ^(3) x)

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  12. यदि फलन f(x)= ( sin ^(4) x)/( cos ^(2) x) का x के सापेक्ष समाकलन ta...

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  13. माना (d)/(dx) (f (x)) = ( (sin ^(12) x - cos ^(12) x))/( (sin ^(2) x...

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

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  15. यदि int ( x^(19) dx)/( x^(5) (x^(5) -sqrt( x^(10) -x^(-10))) )= ( x^(3...

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  16. यदि int ( dx)/( 1+sqrt( x+1) +sqrtx) =ax +bsqrtx +cint sqrt((x+1)/(x) ...

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  17. माना int ( cos x dx )/( 7-5 sin x- cos ^(2) x ) =ln (1+ f(x)) +C है,...

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  18. यदि int ( (x^(2) sec ^(2) x + 3 x tan x )/("" ^(3) sqrt( tan x) )) ...

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  19. int cos 2theta. ln ((cos theta +sin theta)/( cos theta -sin theta) )d ...

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  20. माना int ( 3e^(x) + 5 sin x +10 cos x)/( e^(x) + 4 sin x +3 cos x )...

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