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Evaluate the following indefinite integrals.

• [math]\int (x^2 + x + 1) \; dx[/math]
• [math]\int \left(3x^2 - \frac1{3x^3}\right) \; dx[/math]
• [math]\int (6t^2 - 2t + 5) \; dt[/math]
• [math]\int (2y + 1)(y - 3) \; dy[/math]
• [math]\int (2x-1)^\frac32 \; dx[/math]
• [math]\int (3x^3 + 2)^5x^2 \; dx[/math]
• [math]\int x\sqrt{a^2 - x^2} \; dx[/math]
• [math]\int \frac{t + 2}{\sqrt{t^2 + 4t + 5}} \; dt[/math]
• [math]\int s(s^3 + 3s^2 + 5)(s + 2) \; ds[/math]
• [math]\int |x| \; dx[/math].