(Solved): 3. Use Comparison Test for Improper Integrals to determine whether each of the following integrals ...

3. Use Comparison Test for Improper Integrals to determine whether each of the following integrals converge or diverge. 1 dx e² (1+x²) 1). S 2). ? 2 + cos x x² S d.x 4. Given a function f(t), the Laplace transform is a new function F(s) = f est f(t) dt where we assume s is a positive real number. Find that the Laplace transform of f(t) = t.