In Wednesday’s class, we continued working on the Substitution Method for finding antiderivatives. Below are several more examples.
Example 1 – $latex \displaystyle \int{\left( 1-t \right){{e}^{2t-{{t}^{2}}}}dt}$
Example 2 $latex \displaystyle \int{\left( {{x}^{2}}-1 \right){{e}^{{{x}^{3}}-3x}}dx}$
Example 3 – $latex \displaystyle \int{\frac{2x+1}{{{\left( {{x}^{2}}+x \right)}^{3}}}dx}$
Example 4 – $latex \displaystyle \int{z\sqrt{{{z}^{2}}-5} dz}$
Example 5 – $latex \displaystyle \int{r\sqrt{{{r}^{2}}+2} dr}$
Example 6 – $latex \displaystyle \int\limits_{0}^{1}{\frac{1}{3}{{\left( 2z+1 \right)}^{2}}dz}$
