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Evaluate each of the following definite integrals by finding an antiderivative and using Theorem.

• [math]\int_0^1 3x^2 \; dx[/math]
• [math]\int_0^1 (4x^3 + 3x^2 + 2x + 1) \; dx[/math]
• [math]\int_1^3 (5x - 1) \; dx[/math]
• [math]\int_1^3 (5t - 1) \; dt[/math]
• [math]\int_1^2 \left( x^2 + \frac1{x^2} \right) \; dx[/math]
• [math]\int_3^2 x^\frac13 \; dx[/math]
• [math]\int_{-2}^0 y^\frac15 \; dy[/math]
• [math]\int_1^2 \left( \frac2{x^3} + \frac1{x^2} + 2 \right) \; dx[/math]
• [math]\int_{-1}^1 (y^2 - y + 1) \; dy[/math]
• [math]\int_6^0 (x^3 - 9x^2 + 16x) \; dx[/math]
• [math]\int_3^5 (2x - 1)^2 \; dx[/math]
• [math]\int_3^x (6t^2 - 4t + 2) \; dx[/math]
• [math]\int_0^t (x^2 + 3x - 1) \; dx[/math]
• [math]\int_0^{x^2} s^3 \; ds[/math]
• [math]\int_a^b dx[/math]
• [math]\int_x^{3x} (4t - 1) \; dt[/math].