∫(((e^(2x) −sin2x)/(e^(2x) +cos2x)))dx = ?


Question and Answers Forum

All Questions Topic List
Others Questions
Previous in All Question Next in All Question
Previous in Others Next in Others
Question Number 66114 by Rio Michael last updated on 09/Aug/19

$\int (\frac{e^{2 x} - s i n 2 x}{e^{2 x} + c o s 2 x}) d x = ?$
	Answered by $@ty@m123 last updated on 09/Aug/19

	$L e t e^{2 x} + \cos 2 x = z$ $\Rightarrow (2 e^{2 x} - 2 \sin 2 x) d x = d z$ $∴ T h e g i v e n i n t e g r a l$ $\int \frac{d z}{2 z}$ $= \frac{1}{2} \ln z + C$ $= \frac{1}{2} \ln (e^{2 x} + \cos 2 x) + C$
	Commented by Rio Michael last updated on 09/Aug/19

	$i a p p r e c i a t e$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum