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Show, by evaluation, that $\int_{0}^{\ln 4} \dfrac{e^{2x}}{e^{2x} + 3e^x + 2} \, dx = \ln\!\left(\frac{8}{5}\right)$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Begin by substituting $u = e^x$,
Mathematics 9709 · AS & A Level · Integration
Show, by evaluation, that $\int_{0}^{\ln 4} \dfrac{e^{2x}}{e^{2x} + 3e^x + 2} \, dx = \ln\!\left(\frac{8}{5}\right)$.