Integrate int(4x^2+6x)dx

 Exercise

$\int\left(4x^2\:+\:6x\right)dx$

 

Expand the integral $\int\left(4x^2+6x\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int4x^2dx+\int6xdx$

 

The integral $\int4x^2dx$ results in: $\frac{4}{3}x^{3}$

$\frac{4}{3}x^{3}$

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The integral $\int6xdx$ results in: $3x^2$

$3x^2$

 

Gather the results of all integrals

$\frac{4}{3}x^{3}+3x^2$

 

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

$\frac{4}{3}x^{3}+3x^2+C_0$

$\frac{4}{3}x^{3}+3x^2+C_0$

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