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CBSE Class 12-science Answered

Integration 1/(1-3x)1/2 – (5-3x)1/2 dx explain in great detail
Asked by haroonrashidgkp | 03 Oct, 2018, 08:56: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral open parentheses 1 over open parentheses 1 minus 3 straight x close parentheses to the power of begin display style 1 half end style end exponent minus 1 over open parentheses 5 minus 3 straight x close parentheses to the power of begin display style 1 half end style end exponent close parentheses dx
straight I equals integral open square brackets open parentheses 1 minus 3 straight x close parentheses to the power of fraction numerator negative 1 over denominator 2 end fraction end exponent minus open parentheses 5 minus 3 straight x close parentheses to the power of fraction numerator negative 1 over denominator 2 end fraction end exponent close square brackets dx
straight I equals fraction numerator open parentheses 1 minus 3 straight x close parentheses to the power of 1 half end exponent over denominator 1 half end fraction cross times fraction numerator negative 1 over denominator 3 end fraction minus fraction numerator open parentheses 5 minus 3 straight x close parentheses to the power of 1 half end exponent over denominator 1 half end fraction cross times fraction numerator negative 1 over denominator 3 end fraction plus straight c
straight I equals fraction numerator negative 2 over denominator 3 end fraction open square brackets square root of 1 minus 3 straight x end root minus square root of 5 minus 3 straight x end root close square brackets plus straight c end style
Answered by Sneha shidid | 05 Oct, 2018, 09:42: AM
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