Question

Given LaTeX: \int_8^{12}f\left(x\right)dx=31,\:\:\int_8^{12}g\left(x\right)dx=-17∫ 8 12 f ( x ) d x = 31 , ∫ 8 12 g ( x ) d x = − 17 , find:

LaTeX: \int_8^{12}\left[3f\left(x\right)-2g\left(x\right)\right]dx∫ 8 12 [ 3 f ( x ) − 2 g ( x ) ] d x

Answer 1

508

Explanation:

Take a = 12 and b = 8

`\int\limits^a_b {3(f(x) - 2g(x)} \, dx =\int\limits^a_b {3(31) - 2(-17)} \, dx = 508`