Evaluate the following integral: \int\frac{vdv}{6v^{2}-1}

Tobias Ali

Tobias Ali

Answered question

2021-05-30

Evaluate the following integral: vdv6v21

Answer & Explanation

Leonard Stokes

Leonard Stokes

Skilled2021-05-31Added 98 answers

Evaluate as follows:
Substitute 6v21=t
Differentiate with respect to v,
12v=dtdv
vdv=dt12
Thus, the integral is calculated as:
I=vdv6v21
=dt12t
=112log|t|+c
=112log|6v21|+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?