Property 2
\(\blacksquare\quad\displaystyle\int k\cdot f(x)\,dx=k\cdot\displaystyle\int f(x)\,dx\qquad k\in\mathbb R\)
\(\blacksquare\quad\displaystyle\int[f(x)\pm g(x)]\,dx=\displaystyle\int f(x)\,dx\pm\displaystyle\int g(x)\,dx\)
1.
\(\displaystyle\int 6x^3\,dx=?\)
2.
\(\displaystyle\int 10x\,dx=?\)
3.
\(\displaystyle\int 4\,dx=?\)
4.
\(\displaystyle\int y\,dx=?\)
5.
\(\displaystyle\int y^2\,dz=?\)
6.
\(\displaystyle\int xy\,dx=?\)
7.
\(\displaystyle\int (2y^3+3y^2)\,dy=?\)
8.
\(\displaystyle\int (x^2y+y)\,dx=?\)
9.
\(\displaystyle\int (x^3+x^2-7x+3)\,dx=?\)
10.
\(\displaystyle\int (x^{1999}+4x^{7619}-2)\,dy=?\)
11.
\(\displaystyle\int \left(\samefrac3{x^2}+\samefrac4x-5\right)\,dx=?\)
12.
\(\displaystyle\int (2x^{-5}+x^{-3}+6x^{-1})\,dx=?\)
13.
\(\displaystyle\int (x^3+\sqrt[3] x)\,dx=?\)
14.
\(\displaystyle\int 2x\cdot t\,dx=?\)
15.
\(\displaystyle\int 2x\cdot t\,dt=?\)