**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)**6.**Find the value

(10 pts. each)

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