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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

Given LaTeX Int812fleftxrightdx31int812gleftxrightdx17 8 12 F X D X 31 8 12 G X D X 17 Find LaTeX Int812left3fleftxright2gleftxrightrightdx 8 12 3 F X 2 G X D X class=

Sagot :

Zezima

Answer:

508

Step-by-step explanation:

Take a = 12 and b = 8

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

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