Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\int \frac{1}{\cos^2\left ( \frac x3 +1\right )}\;dx=$	A. tan ( + 1) + C
	B. 3 tan ( + 1) + C
	C. − tan ( + 1) + C
	D. − 3 tan ( + 1) + C
	E. 3 tan + C

[ 6-2471 - op net sinds 13.4.2021-(E)-14.6.2024 ]

Translation in E N G L I S H

see above	A.
	B.
	C.
	D.
	E.

Oplossing - Solution

$\int\frac{1}{\cos^2\left(\frac{x}{3}+1\right)}\:dx=3\int\frac{1}{\cos^2\left(\frac{x}{3}+1\right)}\:d\left(\frac{x}{3}+1\right)=3\tan\left(\frac{x}{3}+1\right)+C$