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The functions

`f`

and

`g`

are integrable and

`\int_2^4 f(x)dx=4,\int_2^7 f(x)dx=-8`

, and

`\int_2^7 g(x)dx=7`

. Use these to complete parts (a) through (f). a.

`\int_4^4 f(x)dx=`

(Simplify your answer.) b.

`\int_7^2 g(x)dx=`

(Simplify your answer.) c.

`\int_2^7 8g(x)dx=`

(Simplify your answer.) d.

`\int_4^7 f(x)dx=`

(Simplify your answer.) e.

`\int_2^7 [g(x)-f(x)]dx=`

(Simplify your answer.) f.

`\int_2^7 [4g(x)-f(x)]dx=`

(Simplify your answer.)