do both 2. Evaluate the following integrals. (a) (7 marks) ( - In a de (b) (9 marki) | 5-14-1 de
2 Rewrite the following integrals with respect to the given order of integration. You do not need to evaluate. 1. dady Т“. f(x, y)dyda 2. ddydz 1 60 45 *** f(, y)dzdydz 3. dydadz 680*5* f(, y, z)dzdzdy 4. dx dydz 1-22 colo Settf(x, y, z)dzdydz
Evaluate the following integrals Evaluate the following integrals: 3 1 32/2 7 (i) dx 6°2712 dx x²x² + 4 (4x² +9312
2 6 Ine 1 Question 7 1 pts Which of the following integrals is equivalent to ' V1 - 22 •da 2 None of these sec (0) dᎾ tan(0) Ś tan? (0)do cos? (0) dᎾ L'ava Vudu Question 8 1 pts
2. Let Y = ex2, where X ~ Ņ(0, 1). (a) Find the p.d.f. of Y. J0 oPlY2 > ijdt. (b) C ompuite 2. Let Y = ex2, where X ~ Ņ(0, 1). (a) Find the p.d.f. of Y. J0 oPlY2 > ijdt. (b) C ompuite
dr J0 3. Let a be a positive constant such that a 1. Evaluate the definite integral using the technique in complex analysis, -C 27 dar I 1+a2 2a cos(1) Jo (a) State a precise version of Beu 4. dr J0 3. Let a be a positive constant such that a 1. Evaluate the definite integral using the technique in complex analysis, -C 27 dar I 1+a2 2a cos(1) Jo (a) State a precise version of Beu 4.
1) Evaluate the following real integrals using Residues, L***2+1&P +27 +2) (1) + drva
3- Solve the following improper integrals 1="e 'dt 4- Solve the following improper integrals I
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
Use a table of integrals to evaluate the following indefinite integral. The integrals may require preliminary work, such as completing the square or changing variables before it can be found in a table. 5 dx x? + 10x + 50 Click here to view Rage 1 of the Table of Integrals. Click here to view page 2 of the Table of Integrals Click here to view page 3 of the Table of Integrals. Click here to view page 4 of...