Question

Encontre  a integral indefinida :

$f(x)=7x^{ \frac{5}{2} }+4$

Answer 1

$\int {7x^{\frac{5}{2}}+4} \, dx = \int {7x^{\frac{5}{2}}} \, dx +\int 4 \, dx = \\ \\ 7.\int x^{\frac{5}{2}} \, dx+4.\int \,dx=7.\frac{2x^{\frac{7}{2}}}{7}+4x= \\ \\ \boxed{2x^{\frac{7}{2}}+4x+C}$