Integrals to Practice, from 3/1/00

1. I e^xcos(x) dx
2. I sin²(x) dx
3. I dx/(1+2x)²
4. I tan(x) dx
5. I sin(2x)/(4+cos(2x)) dx
6. I xsec²x dx
7. I x²p(x-2) dx = I x²(x-2)^1/2 dx
8. I tan(arcsin(x))/ (p(1-x²)) dx = I tan(arcsin(x))/ ( (1-x²)^1/2) dx
9. ₀I⁴ xe^2x dx
10. ₂I⁶ x²p(2x³-4) dx = ₂I⁶ x² (2x³-4)^1/2 dx
11. I ln(x)/ x^3/2 dx
12. ₁I³ 4/(px(1+px)) dx = ₁I³ 4/(x^1/2(1+x^1/2)) dx
13. I arctan(x) dx
14. I ln(1+x²) dx

If you get totally stuck, the answers (as opposed to the solutions) may give you a clue.