2.1

202

$\int_{ }^{ }3\cdot\left(3x-1\right)^5dx=\frac{1}{6}\left(3x-1\right)^6+C$

$\int_{ }^{ }6x\left(3x^2-5\right)^4dx=\frac{1}{5}\left(3x^2-5\right)^5+C$

203

$\int_{ }^{ }15\left(3x+2\right)^3dx=\frac{5}{4}\left(3x+2\right)^4+C$

$\int_{ }^{ }\left(4x-6\right)^4dx=\frac{1}{20}\left(4x-6\right)^5+C$

204

$\int_{ }^{ }6x^2\left(x^3+3\right)^6dx=2\int_{ }^{ }3x^2\left(x^3+3\right)^6=\frac{2}{7}\left(x^3+3\right)^7+C$

b)
$\int_{ }^{ }\left(\frac{x}{3}+1\right)^5dx=\frac{1}{2}\left(\frac{x}{3}+1\right)^6+C$