Please show the work to get the answer. The graph of \( f(t) \) is shown below. Each piece of \( f \) is a straight line.### Graph Description:The graph depicts the function \( y = f(t) \), which is composed of several straight line segments. The x-axis ranges from 0 to 12, and the y-axis ranges from -4 to 4.- From \( t = 0 \) to \( t = 2 \), the graph rises from \( f(t) = 0 \) to \( f(t) = 3 \).- From \( t = 2 \) to \( t = 4 \), the graph falls to \( f(t) = -3 \).- It then rises again to \( f(t) = 0 \) at \( t = 6 \).- The graph remains steady at \( f(t) = 0 \) from \( t = 6 \) to \( t = 8 \).- From \( t = 8 \) onward, the graph rises back to \( f(t) = 2 \) at \( t = 10 \) and remains there.### Problem Statements:a. Calculate \( \int_{4}^{8} (f(t))^2 \cdot f'(t) \, dt = \)b. Calculate \( \int_{2}^{6} t \cdot f'(t) \, dt = \) The task requires evaluating these integrals by analyzing the graph's straight-line segments and their respective slopes.

Name: Please show the work to get the answer. The graph of \( f(t) \) is sho
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please show the work to get the answer. The graph of \( f(t) \) is shown below. Each piece of \( f \) is a straight line.### Graph Description:The graph depicts the function \( y = f(t) \), which is composed of several straight line segments. The x-a