Question

\[\int\limits_{0}^{4} (3x+x^{3}/2) dx\]

Answer 1

\[3\int_0^4xdx+{1 \over 2}\int_0^4x^3dx\]

Answer 2

\[=3 { x^2 \over 2} \Big|_0^4+{1 \over 2}x^4/4\Big|_0^4 \]

Answer 3

\[=3\times 16/2+{1 \over2 } 256/4\]
\[=24+32\]
\[=56\]

Answer 4

thanks a lot !