Determining converges or diverges


Assignment:

Evaluate:
∫3x+3 / x^3-1 (dx)

Use trigonometric substitution to evaluate
∫1 /√1+x2(dx)

Determine whether converges or diverges. If it converges, evaluate the integral.

1 / 1+x (dx)

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Determining converges or diverges
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