Evaluate
\frac{\left(\frac{2}{3}\right)^{x}}{\ln(\frac{2}{3})}+С
Differentiate w.r.t. x
\left(\frac{2}{3}\right)^{x}
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\frac{\left(\frac{2}{3}\right)^{x}}{\ln(\frac{2}{3})}
Use \int a^{b}\mathrm{d}b=\frac{a^{b}}{\ln(a)} from the table of common integrals to obtain the result.
\frac{\left(\frac{2}{3}\right)^{x}}{\ln(\frac{2}{3})}+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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