Evaluate the following integrals: 3^ 2 _3x dx - Vidyadip

Question

Evaluate the following integrals:
$\int3^{2\log_3\text{x}}\text{dx}$

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Answer

$\int3^{2\log_3\text{x}}\text{dx}=\int3^{\log_3\text{x}^2}\text{dx}$
$=\int\text{x}^2\text{dx}$
$=\frac{\text{x}^3}{3}+\text{c}$
$\int\log_\text{x}\text{xdx}=\int1\text{dx}$
$=\text{x}+\text{c}$

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