Họ nguyên hàm của hàm số \(f\left( x \right)=2x+\sin 2x\) là:

\(29\)   

\(5\)

\(19\)

\(40\)

\(\int {0dx}  = C\)       

\(\int {dx}  = C\)         

\(\int {dx}  = 0\)          

\(\int {0dx}  = x + C\)

$\int\limits_{ - 1}^2 {f\left( {2x} \right)} d{\rm{x  =  2}}$

$\int\limits_{ - 3}^3 {f\left( {x + 1} \right)} d{\rm{x  =  2}}$

$\int\limits_{ - 1}^2 {f\left( {2x} \right)} d{\rm{x  =  1}}$

$\int\limits_0^6 {\dfrac{1}{2}f\left( {x - 2} \right)} d{\rm{x  =  1}}$

\(y = 12{x^3}\)

\(y = \dfrac{{3{x^5}}}{5} - 1\)

\(y = \dfrac{{3{x^5} + 1}}{5}\)

\(y = \dfrac{3}{5}{x^5} - \dfrac{3}{5}\)

\(x = 1 - \sqrt 3 \).

\(x = 1\).

\(x =  - 1\).

\(x = 0\).

\(\int\limits_{ - a}^a {f\left( x \right)dx}  = 0\)

\(\int\limits_{ - a}^a {f\left( x \right)dx}  = 2a\)                   

\(\int\limits_{ - a}^a {f\left( x \right)dx}  = 2\int\limits_0^a {f\left( x \right)dx} \)

\(\int\limits_{ - a}^a {f\left( x \right)dx}  = \int\limits_{ - a}^0 {f\left( x \right)dx} \)