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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

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.	$\int \frac{1}{x^2+6x+9} dx$