2. Determine the following integrals, giving exact values for the definite integrals (and simplify as much as possible!). (4 points each) x-&x a) x se -cos(x) + 2" Jdus b) ſxvx-1dx The Adventure Continues e) [r? n(x) dx
Exercise 1. Evaluate the following integrals by reversing the oder of integration: 1 c3 2 a) Jo J3y dy dx; (d,) ev dy dx. Exercise 1. Evaluate the following integrals by reversing the oder of integration: 1 c3 2 a) Jo J3y dy dx; (d,) ev dy dx.
2 PART II: LAPLACE TRANSFORMATIONS A. Below, determine whether or not the integrals are convergent: 1. ſºt?e'dt $ 2. e-cos tdt
Determine if the improper integrals are convergent or divergent. Prove it . + 2 ** I'; I0 1 + r2 + XP ln(1 + x) dx 0
Evaluate the folloMing integrals. Sec (x) d fe I+E dt Evaluate the folloMing integrals. Sec (x) d fe I+E dt
show works please Q1 Improper Integrals 10 Points Evaluate the following integrals and determine if they converge. If they converge, find the value of the integral. Show all of your work. Q1.1 5 Points et L dx 2 + ex Upload your file showing your work. Please select file(s) Select file(s) Q1.2 5 Points 28 da 3/(x – 8)2 Upload your file showing your work.
2) Determine what change of variables is necessary to solve each of the following integrals on the region R given: wih cormers at (0.0,a.).a-1).(0) s a rec bSSR cos(zy-s')d.A where R is a rectangle with corners at (-1,-2), (-1,0), (1,0),(1,2). e) SJ(a2 -v') sin(a -y)dA (indefinite integral) 3) Solve the integrals in a) and b) of the previous problem. Feel free to attempt c) but it is considerably longer and more challenging 2) Determine what change of variables is necessary...
calculate the following integral rties of integrals 7/3 - dx d) z2 tan a da -1/3
I 6. Use the Comparison Test to determine whether or not the improper integrals converge. dr dx a) b) I 6. Use the Comparison Test to determine whether or not the improper integrals converge. dr dx a) b)
2) Determine what change of variables is necessary to solve each of the following integrals on the region R given: wih cormers at (0.0,a.).a-1).(0) s a rec bSSR cos(zy-s')d.A where R is a rectangle with corners at (-1,-2), (-1,0), (1,0),(1,2). e) SJ(a2 -v') sin(a -y)dA (indefinite integral) 3) Solve the integrals in a) and b) of the previous problem. Feel free to attempt c) but it is considerably longer and more challenging