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CBSE Class 12-science Answered

Evaluate: Integration [1 + 1/(1+x2)-2/(1 – x2)1/2 + 5/x(x2 – 1)1/2 + ax ]dx Explain in great detail
Asked by haroonrashidgkp | 22 Sep, 2018, 04:13: PM
answered-by-expert Expert Answer
begin mathsize 18px style integral open square brackets 1 plus fraction numerator 1 over denominator 1 plus straight x squared end fraction minus fraction numerator 2 over denominator square root of 1 minus straight x squared end root end fraction plus fraction numerator 5 over denominator straight x square root of straight x squared minus 1 end root end fraction plus straight a to the power of straight x close square brackets dx use space following space formulas integral fraction numerator 1 over denominator square root of straight a squared minus straight x squared end root end fraction dx equals sin to the power of negative 1 end exponent open parentheses straight x over straight a close parentheses plus straight c integral fraction numerator 1 over denominator straight x square root of straight x squared minus straight a squared end root end fraction dx equals 1 over straight a sec to the power of negative 1 end exponent open parentheses straight x over straight a close parentheses plus straight c integral fraction numerator 1 over denominator straight a squared plus straight x squared end fraction dx equals 1 over straight a tan to the power of negative 1 end exponent open parentheses straight x over straight a close parentheses plus straight c integral 1 dx equals straight x space plus space straight c integral straight a to the power of straight x dx equals straight a to the power of straight x over loga space plus space straight c end style
Answered by Arun | 28 Sep, 2018, 10:19: AM

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CBSE 12-science - Maths
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