1 $\displaystyle \int (x^4+3)^4x^3dx$
$\displaystyle u = x^4+3 $
$\displaystyle du = 4x^3dx$
$\displaystyle \frac{1}{4}du = x^3dx$
$\displaystyle \frac{1}{4}\int (u)^4 du$
$\displaystyle \frac{1}{4}\int \frac{1}{5}(u)^5 + c$
final answer: $\displaystyle \frac{1}{20}(x^4+3)^5 + C$
THE NEXT THREE I AM STRUGGLING WITH... HELP IS APPRECIATED!
2. $\displaystyle \int (x^2-2)^2dx$
3. $\displaystyle \int sin^5(2x)cos(2x)dx$
4. $\displaystyle \int \frac{9x^6+5x^4+7}{x^3}dx$