Question

WILL GIVE BRAINLIEST. SHOW WORK PLEASE

Answer 1

Answer:

See explanation

Step-by-step explanation:

a.   $\int\limits^4_1 {(f + g)(x)} \, dx = \int\limits^4_1 {f(x)} \, dx + \int\limits^4_1 {g(x)} \, dx = 11 + 17 = 28$

b.  $\int\limits^6_4 {f(x)} \, dx = \int\limits^6_1 {f(x)} \, dx - \int\limits^4_1 {f(x)} \, dx = 23 - 11 = 12$

c.  $\int\limits^4_1 {3f(x)} \, dx = 3\int\limits^4_1 {f(x)} \, dx = 3(11) = 33$

d.  $\int\limits^4_1 {(g(x) + 2)} \, dx = \int\limits^4_1 {g(x)} \, dx + \int\limits^4_1 \, 2dx = 17 + (8 - 2) = 17 + 6 = 23$