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(Solved): hi, can you tell me if my integration is correct? since it is a logistic growth model, i first multi ...



hi, can you tell me if my integration is correct? since it is a logistic growth model, i first multiplied the numerator and the deniminator by e^-2x. let me know if its correct or not. thank you

(6) \( \int_{0}^{1} \frac{11}{7+4 e^{2 x}} d x \)
\( \int_{0}^{1} \frac{11}{7+4 e^{2 x}} d x=\int_{0}^{(} \frac{11}{\left(7+4 e^{2 x}\right)}\left(\frac{e}{\left(e^{-2 x}\righ
(6) \( \int_{0}^{1} \frac{11}{7+4 e^{2 x}} d x \) \( \int_{0}^{1} \frac{11}{7+4 e^{2 x}} d x=\int_{0}^{(} \frac{11}{\left(7+4 e^{2 x}\right)}\left(\frac{e}{\left(e^{-2 x}\right)} d x \int_{-2 x}^{4} d x\right. \) \( \int_{0}^{1} \frac{11 e^{-2 x}}{7 e^{-2 x}+4 e^{0}} d x=\frac{11 e^{-2 x}}{7 e^{-2 x}+4} d x \mid \) \( \left(11 e^{-2 x}\right)\left(7 e^{-2 x}+4\right)^{-1} d x=\left(11\left(e^{-x}\right)\right)(4) \) \( -\frac{11}{14}(4)^{-1} d 4=\left.\frac{-11 \ln |4|}{14}\right|_{0} ^{5} \) \( =-\left.\frac{11}{14} \ln \left|7 e^{-2 x}+4\right|\right|_{0} ^{1} \)


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Given integral is ?01117+4e2xdx=?0111e?2x7e?2x+4dx…(1) Substitut
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