Problem 1062 (difficulty: 6/10)

Are the following improper integrals convergent? Absolute convergent?

\(\displaystyle a) \int_1^{\infty} {\sin x\over x^2}\ \dx \qquad\qquad b)\ \int_1^{\infty} {\sin x\over x}\ \dx \qquad\qquad c)\ \int_1^{\infty}\sin (x^2)\ \dx\)

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