Question

alguém sabe responder integral e substituição em u

Answer 1

$\int{\dfrac{e^{2x}}{4+e^{2x}}} \ dx\\\\\\u=4+e^{2x}\\\\\\du=2e^{2x}\ dx\\\\\\dx=\dfrac{du}{2e^{2x}}\\\\\\\int{\dfrac{e^{2x}}{4+e^{2x}}} \ \dfrac{du}{2e^{2x}}\\\\\\\int{\dfrac{1}{2u}} \ du\\\\\\\dfrac12\ln|u|+C\\\\\\\dfrac{1}{2}\ln(4+e^{2x})+C$