Given that $\displaystyle\int\nolimits_{0}^{\ln 2} \mathrm{f}(x) \, \mathrm{d}x = 8$, evaluate \(\

Question

Given that $\displaystyle\int\nolimits_{0}^{\ln 2} \mathrm{f}(x) \, \mathrm{d}x = 8$, evaluate $\displaystyle\int\nolimits_{0}^{\frac{1}{2}} \mathrm{f}(x) + e^{2x} \, \mathrm{d}x + \displaystyle\int\nolimits_{\frac{1}{2}}^{\ln 2} \mathrm{f}(x) + e^{x} \, \mathrm{d}x$ exactly.

Accepted Answer

$\frac{19}{2}+\frac{1}{2}	ext{e}-\sqrt{	ext{e}}$

Definite Integrals and Area under graph - Understanding Results of Definite Integrals

Definite Integrals and Area under graph - Understanding Results of Definite Integrals

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