#### MATH 1501

##### Midterm 3 | Summer '15| Barone
1. During an experiment the velocity of a particle at time $t$ is given by

for $t > 0$. How far has the particle travelled in the first $2$ seconds of the experiment?

2. Solve the separable differential equation.

3. Find the value of the definite intergral. Hint: try integration by parts.

4. Find the area bounded by the two curvesand $y = 3x + 1$.

5. Integrate using any method

(10 pts. each)

(a)

(b)