calculus functions integration by parts

Question

Which of the following functions of x can be integrated with respect to x without integration by parts, and purely using integration by u-substitution and the knowledge of the antiderivative of the cosine function? (5 points)

answer choices

	x2cos(x)
	xcos2(x)
	xcos(x2)
	x2cos(x2)

Answer 1

The function x cos(x²) can be easily integrated using u substitution. I think it is the only one of the four than can be done without using integration by parts or other advanced methods.