Final Answer
$\frac{\left(x+1\right)^{3}}{3}+C_1$
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Step-by-step Solution
Problem to solve:
$\int\left(x+1\right)^2dx+1$
Choose the solving method
1
The integral $\int\left(x+1\right)^2dx$ results in: $\frac{\left(x+1\right)^{3}}{3}$
$\frac{\left(x+1\right)^{3}}{3}$
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$\frac{\left(x+1\right)^{3}}{3}$
Learn how to solve calculus problems step by step online. Find the integral int((x+1)^2)dx+1. The integral \int\left(x+1\right)^2dx results in: \frac{\left(x+1\right)^{3}}{3}. 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. We can combine and rename 1+C_0 as other constant of integration.
Final Answer
$\frac{\left(x+1\right)^{3}}{3}+C_1$