Question

Evaluate the integral ((e^t+2)/(e^t+2t))dt

Answer 1

\[-\frac{1}{2}e^{2(1-t)}+K\]

Answer 2

does it matter is t is greater than 0

Answer 3

just to make sure I understand the problem: you asked
\[\int\frac{e^{t+2}}{e^{t+2t}}\]?

Answer 4

or \[\int\frac{e^t+2}{e^t+2t}dt\]

Answer 5

because I answered the first , the second would be \[\ln\mid{e^t+2t}\mid+K\]

Answer 6

the second it does matter that \[t>0\]

Answer 7

ok