Rješenja zadataka za vježbu

1.: $\displaystyle \frac{4}{3}$
2.: $\displaystyle \frac{\pi}{4}$
3.: $\displaystyle 2\sqrt 2-2$
4.: $\displaystyle 4-2\ln 3$
5.: $\displaystyle 4-\pi$
6.: $\displaystyle \frac{\pi }{2}-1$
7.: $\displaystyle \frac{\pi }{4}-\frac{1}{2}$
8.: $\displaystyle \frac{\pi }{{\pi}^2+1} \cdot \frac{1+e}{e}$
9.: $\displaystyle e^{a}$
10.: Integral divergira.
11.: $\displaystyle \frac{\pi }{\sqrt 5}$
12.: $\displaystyle P=\frac{9}{2}$ .
13.: $\displaystyle P=\frac{13}{2}$ .
14.: $\displaystyle P=\frac{3a^2\pi}{2}$ .
15.: $\displaystyle l\approx 7.63$ .
16.: $\displaystyle l=\sqrt 2(\pi -1)$ .
17.: $\displaystyle l=\frac{a}{8}(2\pi +3\sqrt 3)$ .
18.: $\displaystyle l=8a$ .
19.: $\displaystyle V=10\sqrt 10\pi$ .
20.: $\displaystyle V=5{\pi}^2 a^3$ .
21.: $\displaystyle P=2\pi \left[\sqrt 2+\ln (\sqrt 2+1)\right]$ .
22.: $\displaystyle I\approx 1.83$ .
23.: $\displaystyle I\approx 37.9655$ .