Exam 1

1. $$\int t \cos t^{2} dt$$

2. $$\int y (y^2+5)^{8} dy$$

3. $$\int \frac{1}{\sqrt{4-x}} d x$$

4. $$\int \sin \theta ( \cos \theta + 5)^{7} d \theta$$

5. $$\int_{1}^{4} \frac{\cos \sqrt{x}}{\sqrt{x}} d x$$

6. $$\int x^{3} \ln x \, dx$$

7. $$\int (z+1) e^{2z} d z$$

8. $$\int_{0}^{\pi} x \sin x \, dx$$

9. $$\int \frac{1}{(x-2)(x-5)} dx$$

10. $$\int_{0}^{3/2} \sqrt{9 - 4 x^{2}} dx$$

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

12. $$\int (\ln x)^{2} dx$$

13. $$\int \frac{1}{x^{2} \sqrt{x^{2} - 9}} d x$$