Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$\int\frac{\sin^2x-\cos^2x}{\sin^2x\cdot\cos^2x}\,dx$	A. tan x + cot x + C
	B. tan x − cot x + C
	C. sin x − cos x + C
	D. sin x + cos x + C
	E. $\int\frac{\sin x-\cos x}{\sin x\cdot\cos x}\,dx$

[ 6-A115 - op net sinds 4.1.2026-(E)- ]

$\int\frac{\sin^2x-\cos^2x}{\sin^2x\cdot\cos^2x}\,dx$	A. tan x + cot x + C
	B. tan x − cot x + C
	C. sin x − cos x + C
	D. sin x + cos x + C
	E. $\int\frac{\sin x-\cos x}{\sin x\cdot\cos x}\,dx$

$\int\frac{\sin^2x-\cos^2x}{\sin^2x\cdot\cos^2x}\,dx=\int\frac{1}{\cos^2x}-\int\frac{1}{\sin^2x}=\tan x+\cot x+C$