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CBSE Class 12-science Answered

integrate square root of x divided by a cubed minus x cubed end root d x
Asked by najeebaamaan017 | 21 Sep, 2018, 12:54: PM
answered-by-expert Expert Answer
Put x3 = t2 
you will get the 
begin mathsize 16px style straight I equals integral fraction numerator 2 dt over denominator 3 square root of straight a cubed minus straight t squared end root end fraction straight I equals 2 over 3 integral fraction numerator dt over denominator begin display style begin display style straight a end style to the power of 3 over 2 end exponent end style square root of begin display style 1 minus straight t squared over straight a cubed end style end root end fraction straight t squared over straight a cubed equals straight u squared Solving space it space further space we space get space straight I equals 2 over 3 sin to the power of negative 1 end exponent open parentheses fraction numerator square root of straight x cubed end root over denominator square root of straight a cubed end root end fraction close parentheses plus straight c end style
Answered by Sneha shidid | 24 Sep, 2018, 12:26: PM

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