Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\int_{0}^{\ln 3}e^{2x}\: dx=$	A. is een negatief getal
	B. = 8
	C. = 3,5
	D. = 4
	E. = 4,5

[ 6-4286 - op net sinds 20.11.14-(E)-3.11.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\int_{0}^{\ln 3}e^{2x}\: dx=$	A. a negative number
	B. = 8
	C. = 3.5
	D. = 4
	E. = 4.5

Oplossing - Solution

$https://latex.codecogs.com/png.image?\dpi{110}\\\int_{0}^{\ln 3}\!\!\!e^{2x}\, dx\!=\!\frac12\int_{0}^{\ln 3}\!\!e^{2x}\, d(2x)\!=\!\frac12\left [ e^{2x} \right ]_{0}^{\ln3}\!=\!\frac12\left [ e^{2\ln3}\!-\!e^{2.0} \right ]\!\!=\!\frac12\left [ e^{\ln9}\!-\!1\right ]\! \!=\! \frac12.8\!=\!$