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Apply the formula: $\int\left(x+a\right)^ndx$$=\frac{\left(x+a\right)^{\left(n+1\right)}}{n+1}+C$, where $a=1$ and $n=5$
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$\left[\frac{\left(x+1\right)^{\left(5+1\right)}}{5+1}\right]_{-1}^{1}$
Learn how to solve definite integrals problems step by step online. Integrate the function (x+1)^5 from -1 to 1. Apply the formula: \int\left(x+a\right)^ndx=\frac{\left(x+a\right)^{\left(n+1\right)}}{n+1}+C, where a=1 and n=5. Simplify the expression inside the integral. Evaluate the definite integral. Simplify the expression inside the integral.