Please help me the solve the following calculus questions 2. +-2 points LarsonET

Question

Please help me the solve the following calculus questions

2. +-2 points LarsonETS 8.8.004 Decide whether the integral is improper. In x3) dx proper improper Explain your reasoning. (Select all that apply.) The integrand is continuous on [1, o). The limits of integration are both finite. [-] At least one of the limits of integration is not finite. ? The integrand is not continuous on [1,a). Need Help? LReadit?11 1 Talk to a Tutor 3. -12 points LarsonETS 8.8.007 Decide whether the integral is improper. sindx 14 + x2 O proper O improper E. The limits of integration are both finite. Explain your reasoning. The integrand is not continuous on (- , oo). At least one of the limits of integration is not finite. The integrand is continuous on (-, )

Explanation / Answer

2) In this case we have a improper integral because the limit is not finite means the upper limit tends to infinte, the integrand is continuos on the interval [1,?]

3) In this case it is improper integral because both the limits tend to infinity ,

i.e. the upper limit and the lower limit tends to infinity, and the integrand is continuos on the interval [-?,?]

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