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Question-134977




Question Number 134977 by 0731619177 last updated on 09/Mar/21
Answered by Ñï= last updated on 09/Mar/21
tanhx=(x/(1+(x^2 /(3+(x^2 /(5+(x^2 /(7+...))))))))  ∫_a ^b tanhxdx=ln(cosh x)∣_a ^b =ln((cosh b)/(cosh a))
$${tanhx}=\frac{{x}}{\mathrm{1}+\frac{{x}^{\mathrm{2}} }{\mathrm{3}+\frac{{x}^{\mathrm{2}} }{\mathrm{5}+\frac{{x}^{\mathrm{2}} }{\mathrm{7}+…}}}} \\ $$$$\int_{{a}} ^{{b}} {tanhxdx}={ln}\left(\mathrm{cosh}\:{x}\right)\mid_{{a}} ^{{b}} ={ln}\frac{\mathrm{cosh}\:{b}}{\mathrm{co}{s}\mathrm{h}\:{a}} \\ $$
Commented by 0731619177 last updated on 09/Mar/21
tanks sir
$${tanks}\:{sir} \\ $$

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