how to solve integral without equations but what they equal to?

Question

int (bottom: -2 top: 5) f(x)dx =-2 int (bottom: 2 top: 5) f(x)dx =8 int (bottom: -2 top: 5) g(x)dx = 10 find int(bottom:-2 top: 5) g(x)+6

Answer 1

Problem not real clear. Don't know what the f(x) parts are for.

Need to find ∫_-2⁵ g(x)+6 dx = ∫_-2⁵ g(x)dx+∫_-2⁵ 6 dx = ∫_-2⁵ g(x)dx +6x|_-2⁵dx

Given ∫_-2⁵ g(x)dx = 10

∫_-2⁵ g(x)+6 dx = 10 +(6(5)-6(-2)) = 10+42 = 52