Evaluate the following integrals. Include absolute values only when needed.

defazajx

defazajx

Answered question

2021-10-15

Evaluate the following integrals. Include absolute values only when needed.
x24x3+7dx

Answer & Explanation

insonsipthinye

insonsipthinye

Skilled2021-10-16Added 83 answers

Given integrals is x24x3+7dx
Applying u-substitution
u=4x3+7
du=12x2dx
x2dx=du12
So the integral becomes,
du12u
=1121udu
=112ln|u|
substituting back u=4x3+7
=112ln|4x3+7|+C is the required value of given integral.

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?