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Evaluate the indefinite integral.

$\int_{}^{}3t\sqrt{t^2+7}dt$

Evaluate the indefinite integral.

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

Evaluate the indefinite integral.

${\int }_{}^{}\frac{1}{2x+5}dx$

Evaluate the indefinite integral.

$\int_{}^{}x\left(5+x\right)^{79}dx$