корень изх)dx...

July 2022 1 12 Report

помогите решить... интегралы с линейным осложнением:
интеграл(4e^{x}/cos^{2}7пи+ 8/корень изх)dx

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NNNLLL54

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$\int (\frac{4e^x}{cos^27\pi }+8\sqrt{x})dx=\frac{4}{cos^27\pi }\int e^x\;dx+8\int \sqrt{x}\;dx=\\\\=[cos^27\pi =(-1)^2=+1]=4\cdot e^x+8\cdot (-\frac{1}{2\sqrt{x}})+C=4e^x-\frac{4}{\sqrt{x}}+C$

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