Integrate int(3x+x^4)dx

 Exercise

$\int\left(3x+x^4\right)dx$

 

Expand the integral $\int\left(3x+x^4\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int3xdx+\int x^4dx$

 

The integral $\int3xdx$ results in: $\frac{3}{2}x^2$

$\frac{3}{2}x^2$

 

The integral $\int x^4dx$ results in: $\frac{x^{5}}{5}$

$\frac{x^{5}}{5}$

 

Gather the results of all integrals

$\frac{3}{2}x^2+\frac{x^{5}}{5}$

 

As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$

$\frac{3}{2}x^2+\frac{x^{5}}{5}+C_0$

$\frac{3}{2}x^2+\frac{x^{5}}{5}+C_0$

 Try other ways to solve this exercise

Can't find a method? Tell us so we can add it.