Mathematics · Calculus
The integral ∫x √2 sin(x2 + 1) - sin 2(x2 + 1)2 sin(x2 + 1) + sin 2(x2 + 1) dx equals (where c is a constant of integration):
- 12 log(x2 + 1) + c
- 2log|sin((x2 + 1)/2)| + c
- 3log((x2 + 1)/2) + c
- 4log|sec((x2 + 1)/2)| + c✓
Correct answer
log|sec((x2 + 1)/2)| + c
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