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CBSE Class 12-science Answered

Integrate 1/(ex + e-x)dx  explain in great detail      
Asked by haroonrashidgkp | 01 Oct, 2018, 07:12: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator 1 over denominator straight e to the power of straight x plus straight e to the power of negative straight x end exponent end fraction dx straight I equals integral fraction numerator straight e to the power of straight x over denominator straight e to the power of straight x open parentheses straight e to the power of straight x plus straight e to the power of negative straight x end exponent close parentheses end fraction dx straight I equals integral fraction numerator straight e to the power of straight x over denominator straight e to the power of 2 straight x end exponent plus 1 end fraction dx Put space straight e to the power of straight x equals straight t straight e to the power of straight x dx equals dt straight I equals integral fraction numerator dt over denominator straight t squared plus 1 end fraction straight I equals tan to the power of negative 1 end exponent straight t plus straight c straight I equals tan to the power of negative 1 end exponent straight e to the power of straight x plus straight c end style
Answered by Sneha shidid | 03 Oct, 2018, 09:49: AM

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CBSE 12-science - Maths
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