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

Question

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

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

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

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