💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 36 Medium Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{2^t}{2^t + 3} \, dt $

Answer

$\frac{\ln \left(2^{t}+3\right)}{\ln 2}+C$

More Answers

Discussion

You must be signed in to discuss.

Video Transcript

we know that you is to to the t plus three, which means that de you is to the g natural over to D. T. Which means that u to the t dtv as do you over natural too. Which means we pull out one over natural with two times the integral one over you, do you? Which gives us one over Natural of two. Tim's Natural Look of You plus C, which gives a snatcher walk of tea to the two to the teeth plus three. Divide by natural of two, plus C is our solution.