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CBSE Class 12-science Answered

Evaluate.
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Asked by dineshchem108 | 31 Aug, 2018, 10:03: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator tan open square brackets log open parentheses straight x plus square root of 1 plus straight x squared end root close parentheses close square brackets over denominator square root of 1 plus straight x squared end root end fraction dx Put space log open parentheses straight x plus square root of 1 plus straight x squared end root close parentheses equals straight t fraction numerator 1 over denominator straight x plus square root of 1 plus straight x squared end root end fraction open parentheses 1 plus fraction numerator 1 over denominator 2 square root of 1 plus straight x squared end root end fraction cross times 2 straight x close parentheses dx equals dt fraction numerator 1 over denominator straight x plus square root of 1 plus straight x squared end root end fraction fraction numerator open parentheses 1 plus square root of 1 plus straight x squared end root close parentheses dx over denominator square root of 1 plus straight x squared end root end fraction equals dt fraction numerator 1 over denominator square root of 1 plus straight x squared end root end fraction dx equals dt straight I equals integral tant space dt straight I equals log space open vertical bar sect close vertical bar plus straight c straight I equals log space open vertical bar sec open square brackets log open parentheses straight x plus square root of 1 plus straight x squared end root close parentheses close square brackets space close vertical bar plus straight c end style
Answered by Sneha shidid | 03 Sep, 2018, 11:57: AM

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CBSE 12-science - Maths
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