If $\int _ { - 1 } ^ { 4 } f ( x ) d x = 3$ , $\int _ { - 3 } ^ { 4 } f ( x ) d x = 6$ , $\int _ { - 1 }^4 g ( x ) d x = - 2$ and $\int _ { 4 } ^ { 6 } g ( x ) d x = 5$ , find the following, if possible.
(a) $\int _ { - 3 } ^ { - 1 } f ( x ) d x$
(b) $\int _ { - 1 }^6 ( g ( x ) + 3 ) d x$
(c) $\int _ { - 1 } ^ { 4 } ( 2 f ( x ) + x ) d x$

Question

If $\int _ { - 1 } ^ { 4 } f ( x ) d x = 3$ , $\int _ { - 3 } ^ { 4 } f ( x ) d x = 6$ , $\int _ { - 1 }^4 g ( x ) d x = - 2$ and $\int _ { 4 } ^ { 6 } g ( x ) d x = 5$ , find the following, if possible. 
(a) $\int _ { - 3 } ^ { - 1 } f ( x ) d x$ 
(b) $\int _ { - 1 }^6 ( g ( x ) + 3 ) d x$ 
(c) $\int _ { - 1 } ^ { 4 } ( 2 f ( x ) + x ) d x$

Quizplus · Accepted Answer

The Answer of If $\int _ { - 1 } ^ { 4 } f ( x ) d x = 3$ , $\int _ { - 3 } ^ { 4 } f ( x ) d x = 6$ , $\int _ { - 1 }^4 g ( x ) d x = - 2$ and $\int _ { 4 } ^ { 6 } g ( x ) d x = 5$ , find the following, if possible. 
(a) $\int _ { - 3 } ^ { - 1 } f ( x ) d x$ 
(b) $\int _ { - 1 }^6 ( g ( x ) + 3 ) d x$ 
(c) $\int _ { - 1 } ^ { 4 } ( 2 f ( x ) + x ) d x$

If ∫−14f(x)dx=3\int _ { - 1 } ^ { 4 } f ( x ) d x = 3∫−14​f(x)dx=3

If $\int _ { - 1 } ^ { 4 } f ( x ) d x = 3$