Review of Integration, Math 223

Find the following anti-derivatives. Use proper notation.

1. $\int \sin (3\theta)\cos^2(3\theta)d\theta$ 2. $\int 4^{3t} dt$ 3. $\int \frac{x^4+x^2+1}{x^3} dx$
4. $\int \frac{e^{\sqrt{x}}}{\sqrt{x}} dx$ 5. $\int \frac{1}{1+x^2} dx$ 6. $\int \frac{1}{e^m} dm$
7. $\int \sqrt[3]{4v+7} dv$ 8. $\int (1+3r^2)^2 dr$ 9. $\int \frac{\sec(\alpha) \tan(\alpha)}{3-\sec(\alpha)} d\alpha$
10. $\int \frac{\ln(y^2)}{y} dy$ 11. $\int w^2\sin(w^3) dw$ 12. $\int \tan^2 \theta d\theta$
13. $\int \frac{1}{\cos^2(t)}dt$ 14. $\int \frac{1}{x^2+6x+9} dx$    


Vector Calculus
9/24/1998