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⭐Question in attachment⭐
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Answered by
11
⭐hey there!!
Given that:
➡ ∫ dx/√x+a - √x}
Now rationalization of denominator,
=>> 1/(√x+a - √x) × (√x+a + √x) /(√x+a +√x)
=> (√x+a + √x) /a ------------------(1)
Now intigrating expression (1)
= 1/a ∫(√x+a + √x ) dx
= 1/a { ∫√(x+a) dx + ∫√x dx }
= 1/a ( 2/3 (x+a) ³/2 + 2/3 x³/2 )
=> 2/3a { (x+a)³/2 + x³/2 } ans
_______________________________________
⭐Hope it will help u
Given that:
➡ ∫ dx/√x+a - √x}
Now rationalization of denominator,
=>> 1/(√x+a - √x) × (√x+a + √x) /(√x+a +√x)
=> (√x+a + √x) /a ------------------(1)
Now intigrating expression (1)
= 1/a ∫(√x+a + √x ) dx
= 1/a { ∫√(x+a) dx + ∫√x dx }
= 1/a ( 2/3 (x+a) ³/2 + 2/3 x³/2 )
=> 2/3a { (x+a)³/2 + x³/2 } ans
_______________________________________
⭐Hope it will help u
Answered by
0
Answer:
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