1. What does it mean for an integral to be "convergent"? Can you provide an example of an integral where the limits of integration are not innite, but the integral is "divergent"? 2. Find the following improper integrals 3 x 1. w dx 1 1+3:8 l x(inx)3 2. IT (2'): ' ' 3 sint Evaluate the followmg integral Ilet, n = 4 0 Using the Trapezoid Method 0 Using Simpson's Rule 3. How large should :1 be to guarantee that the Trapezoid method approximation to lexzdx is accurate to within 0001