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Pls integrate
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Asked by nirmalasinhabwn | 15 Jul, 2021, 09:58: PM
answered-by-expert Expert Answer
begin mathsize 14px style straight I space equals integral left parenthesis a x plus b right parenthesis to the power of 3 divided by 2 end exponent space d x end style  ......................... (1)
Let us use the substitution  u = ( a x + b ) , hence  du = a dx
 
After using above substitution, we get
 
begin mathsize 14px style straight I space equals space 1 over straight a integral straight u to the power of 3 divided by 2 end exponent space du space equals space 1 over a space fraction numerator straight u to the power of 5 divided by 2 end exponent over denominator begin display style left parenthesis 5 divided by 2 right parenthesis end style end fraction space plus space straight C space equals space open parentheses fraction numerator 2 over denominator 5 space straight a end fraction close parentheses space open parentheses ax plus straight b close parentheses to the power of 5 divided by 2 end exponent space plus space straight C end style
Answered by Thiyagarajan K | 16 Jul, 2021, 12:08: AM

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