Question

Evaluate
$\int \frac{dt}{5t+1}$

Answer 1

$\int \frac{dt}{5t+1}$

we know that $\int \frac{dx}{x}=\log 1\times 1+c$

put $u=5t+1$

$du=5dt$
$=\frac{1}{5}\int \frac{du}{u}$

$\frac{1}{5}\log |u|+C$

$\frac{1}{5}\log |5t+1|+C$