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0-2-d-sinx-cosx-sinx-cosx-




Question Number 17255 by Arnab Maiti last updated on 02/Jul/17
∫_0 ^( (Π/2))  ((d(sinx+cosx))/(sinx+cosx))
$$\int_{\mathrm{0}} ^{\:\frac{\Pi}{\mathrm{2}}} \:\frac{\mathrm{d}\left(\mathrm{sinx}+\mathrm{cosx}\right)}{\mathrm{sinx}+\mathrm{cosx}} \\ $$
Answered by prakash jain last updated on 02/Jul/17
ln (sin x+cos x)∣_0 ^(π/2) =ln 1−ln 1=0
$$\mathrm{ln}\:\left(\mathrm{sin}\:{x}+\mathrm{cos}\:{x}\right)\mid_{\mathrm{0}} ^{\pi/\mathrm{2}} =\mathrm{ln}\:\mathrm{1}−\mathrm{ln}\:\mathrm{1}=\mathrm{0} \\ $$
Commented by Arnab Maiti last updated on 02/Jul/17
Thank you sir.
$$\mathrm{Thank}\:\mathrm{you}\:\mathrm{sir}. \\ $$

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