Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Find the integral
Expand the integral $\int\left(x^2+4x+4\right)dx$ into $3$ integrals using the sum rule for integrals, to then solve each integral separately
The integral $\int x^2dx$ results in: $\frac{x^{3}}{3}$
The integral $\int4xdx$ results in: $2x^2$
The integral $\int4dx$ results in: $4x$
Gather the results of all integrals
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$