Evaluate
x\ln(x^{2})+2\ln(7)x-2x+С
Differentiate w.r.t. x
\ln(x^{2})+2\ln(7)
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\frac{\int \ln(\left(7x\right)^{2})\mathrm{d}x}{\ln(e)}
Factor out the constant using \int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x.
\frac{x\left(2\ln(7)+\ln(x^{2})-2\right)}{\ln(e)}
Simplify.
x\left(2\ln(7)+\ln(x^{2})-2\right)
Simplify.
x\left(2\ln(7)+\ln(x^{2})-2\right)+С
If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
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