patbatE21 Group Title Explain why each of the following integrals is improper. 2 years ago 2 years ago

1. patbatE21 Group Title

$\int\limits_{0}^{\pi/2}secx dx$

2. satellite73 Group Title

because $\sec(\frac{\pi}{2})$ is undefined

3. patbatE21 Group Title

$\int\limits_{0}^{2} ((x)/(x^2 -5x +6)) dx$

4. satellite73 Group Title

since $\sec(x)=\frac{1}{\cos(x)}$and $\cos(\frac{\pi}{2})=0$

5. satellite73 Group Title

second one because the denominator is zero at x = 2

6. patbatE21 Group Title

$\int\limits_{-infinite}^{0} ((1)/(x^2 +5)) dx$

7. patbatE21 Group Title

So the first one can be called a infinite discontinuity I'm guessing