Answer:
See explanation
Step-by-step explanation:
a. [tex]\int\limits^4_1 {(f + g)(x)} \, dx = \int\limits^4_1 {f(x)} \, dx + \int\limits^4_1 {g(x)} \, dx = 11 + 17 = 28[/tex]
b. [tex]\int\limits^6_4 {f(x)} \, dx = \int\limits^6_1 {f(x)} \, dx - \int\limits^4_1 {f(x)} \, dx = 23 - 11 = 12[/tex]
c. [tex]\int\limits^4_1 {3f(x)} \, dx = 3\int\limits^4_1 {f(x)} \, dx = 3(11) = 33[/tex]
d. [tex]\int\limits^4_1 {(g(x) + 2)} \, dx = \int\limits^4_1 {g(x)} \, dx + \int\limits^4_1 \, 2dx = 17 + (8 - 2) = 17 + 6 = 23[/tex]
