$$\int\limits_{ - 1}^4 {f(x)dx = 4} $$ and $$\int\limits_2^4 {\{ 3 - f(x)\} dx = 7} $$, then the value of $$\int\limits_{ - 1}^2 {f(x)dx} $$ is

$$\int\limits_0^{1000} {{e^{x - [x]}}dx} $$ is equal to

The value of the integral $$\int\limits_0^{\pi /2} {{{\sin }^5}xdx} $$ is

If $${d \over {dx}}\{ f(x)\} = g(x)$$, then $$\int\limits_a^b {f(x)g(x)dx} $$ is equal to