find the indefinite integral. Integral of 2t-1/t squared - t + 2 dt

Damon Campos

Damon Campos

Answered question

2022-08-04

find the indefinite integral.
Integral of 2t-1/t squared - t + 2 dt

Answer & Explanation

Brooks Hogan

Brooks Hogan

Beginner2022-08-05Added 18 answers

2 t 1 t 2 t + 2 d t
Solve this by substitution.
Let us pose:
u = t 2 t + 2
du = (2t-1) dt
( 2 t 1 ) t 2 t + 2 d t = 1 u d u = ln | u | + C = ln | t 2 t + 2 | + C
t 2 t + 2 > 0 for all t R. So you can remove the absolute value.
Answer: ln ( t 2 t + 2 ) + C

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?