Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

De onbepaalde integraal $https://latex.codecogs.com/png.image?\large \dpi{110}\int \frac{6}{\sqrt {3x-1}}\:\: dx$ is gelijk aan	A. $https://latex.codecogs.com/png.image?\dpi{110}\sqrt{3x-1}+C$
	B. $https://latex.codecogs.com/png.image?\dpi{110}2\, \sqrt{3x-1}+C$
	C. $https://latex.codecogs.com/png.image?\dpi{110}12\, \sqrt{3x-1}+C$
	D. $https://latex.codecogs.com/png.image?\dpi{110}4\, \sqrt{3x-1}+C$
	E. $https://latex.codecogs.com/png.image?\dpi{110}6.\ln \left\|\, x+\sqrt{3x-1}\, \right \|+C$

[ 6-5347 - op net sinds 27.2.15-()-15.6.2024 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\large \dpi{110}\int \frac{6}{\sqrt {3x-1}}\:\: dx=$	A. $https://latex.codecogs.com/png.image?\dpi{110}\sqrt{3x-1}+C$
	B. $https://latex.codecogs.com/png.image?\dpi{110}2\, \sqrt{3x-1}+C$
	C. $https://latex.codecogs.com/png.image?\dpi{110}12\, \sqrt{3x-1}+C$
	D. $https://latex.codecogs.com/png.image?\dpi{110}4\, \sqrt{3x-1}+C$
	E. $https://latex.codecogs.com/png.image?\dpi{110}6.\ln \left\|\, x+\sqrt{3x-1}\, \right \|+C$

Oplossing - Solution

$https://latex.codecogs.com/png.image?\dpi{110}\int \frac{6}{\sqrt {3x-1}}\:\: dx=\frac{6}{3}\int \frac{d(3x-1)}{\sqrt {3x-1}}=2.2\, \sqrt{3x-1}+C=\cdots$

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