Diện tích hình phẳng giới hạn bởi các đồ thị hàm số \[y = {x^3} - x;y = 2x\] và các đường thẳng \[x = - 1;x = 1\;\] được xác định bởi công thức:

A.\[S = \mathop \smallint \limits_a^b \left( {f\left( x \right) - g\left( x \right)} \right)dx\]

B. \[S = \mathop \smallint \limits_a^b \left( {g\left( x \right) - f\left( x \right)} \right)dx\]

C. \[S = \mathop \smallint \limits_a^b \left| {f\left( x \right) - g\left( x \right)} \right|dx\]

D. \[S = \mathop \smallint \limits_a^b \left| {f\left( x \right)} \right|dx - \mathop \smallint \limits_a^b \left| {g\left( x \right)} \right|dx\]

A.\[\pi + \frac{4}{3}\]

B. \[\frac{\pi }{2} - 1\]

C. \[\frac{\pi }{2}\]

D. \[\frac{\pi }{2} + \frac{1}{3}\]

B. \[S = \left| {\mathop \smallint \limits_0^2 \left( {{x^3} + x - 2} \right)d{\rm{x}}} \right|\]

C. \[S = \frac{1}{2} + \mathop \smallint \limits_0^1 {x^3}d{\rm{x}}\]

D. \[S = \mathop \smallint \limits_0^1 \left| {{x^3} + x - 2} \right|d{\rm{x}}\]

A.\[\frac{{128}}{3}{m^2}\]

B. \[\frac{{131}}{3}{m^2}\]

C. \[\frac{{28}}{3}{m^2}\]

D. \[\frac{{26}}{3}m\]

A.\[\frac{9}{2}\]

B.\[\frac{{18}}{5}\]

C.4

D.5

A.\[S = \frac{{16}}{3}\]

B. \[S = \frac{{161}}{6}\]

C. \[S = \frac{1}{6}\]

D. \[S = \frac{5}{6}\]

A.\[S = \mathop \smallint \nolimits_{ - 2}^2 f(x)dx\]

B. \[S = \mathop \smallint \nolimits_1^{ - 2} f(x)dx + \mathop \smallint \nolimits_1^2 f(x)dx\]

C. \[S = \mathop \smallint \nolimits_{ - 2}^1 f(x)dx + \mathop \smallint \nolimits_1^2 f(x)dx\]

D. \[S = \mathop \smallint \nolimits_{ - 2}^1 f(x)dx - \mathop \smallint \nolimits_1^2 f(x)dx\]