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Evaluate: 
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
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Evaluate: a)b)c)d)Correct answer is option 'A'. Can you explain this a...
 (x)½ (a - x)½ dx
=  ∫(ax - x2)½ dx
=  ∫{-(x2 - ax)½} dx
=  ∫{-(x2 - ax + a2/4 - a2/4)½} dx
=  ∫{-(x - a/2)2 - a2/4} dx
=  ∫{(a/2)2 - (x - a/2)2} dx
=  ½(x - a/2) {(a/2)2 - (x - a/2)2} + (a2/4) (½ sin-1(x - a)/a2)
= {(2x - a)/4 (ax - x2)½} + {a2/8 sin-1(2x - a)/a} + c
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Evaluate: a)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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