Final Answer
$\ln\left(t^2+t+1\right)+C_0$
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Step-by-step Solution
Problem to solve:
$\int\frac{2t+1}{t^2+t+1}dt$
Specify the solving method
1
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$
$\ln\left(t^2+t+1\right)+C_0$
Final Answer
$\ln\left(t^2+t+1\right)+C_0$