Question

in exercises evaluate

1. $\int_{-2}^{4} \left( \frac{x}{2} \

ight)$ (partial)

1. $\int_{-3}^{3} \sqrt{9 - x^2} dx$
2. $\int_{-2}^{1} |x| dx$
3. $\int_{-1}^{1} (2 - |x|) dx$
4. $\int_{\pi}^{2\pi} \theta d\theta$

in exercises 23–28, use areas to evalu

1. $\int_{0}^{b} x dx, \\ b > 0$
2. $\int_{0}^{}$ (partial)
3. $\int_{a}^{b} 2s ds, \\ 0 < a < b$
4. $\int_{a}^{b} 3t dt$
5. $\int_{a}^{2a} x dx, \\ a > 0$
6. $\int_{a}^{\sqrt{3}a} x dx,$ (partial)

in exercises 29–32, express the desired quantity as a defi and evaluate the integral using theorem 2.

1. find the distance traveled by a train moving at 87 m 8:00 a.m. to 11:00 a.m.
2. find the output from a pump producing 25 gallons during the first hour of its operation.
3. find the calories burned by a walker burning 300 c hour between 6:00 p.m. and 7:30 p.m.
4. find the amount of water lost from a bucket leakin per hour between 8:30 a.m. and 11:00 a.m.

in exercises 33–36, use nint to evaluate the expressio

1. $\int_{0}^{5} \frac{x}{x^2 + 4} dx$
2. $3 + 2 \int_{0}^{\pi/3} \tan x$ (partial)
3. find the area enclosed between the x-axis and the $y = 4 - x^2$ from $x = -2$ to $x = 2$.
4. find the area enclosed between the x-axis and the $y = x^2 e^{-x}$ from $x = -1$ to $x = 3$.

in exercises 37–40, (a) find the points of discontinui integrand on the interval of integration, and (b) use a the integral.

Explanation:

To solve[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]

Answer:

To solve[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]