Evaluate
2xx_{5}\left(x+5\right)^{10}+С
Differentiate w.r.t. x
2x_{5}\left(11x+5\right)\left(x+5\right)^{9}
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2x\left(x+5\right)^{10}x_{5}
Find the integral of 2x\left(x+5\right)^{10} using the table of common integrals rule \int a\mathrm{d}x_{5}=ax_{5}.
2x\left(x+5\right)^{10}x_{5}+С
If F\left(x_{5}\right) is an antiderivative of f\left(x_{5}\right), then the set of all antiderivatives of f\left(x_{5}\right) is given by F\left(x_{5}\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
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