Determine the area of the given region. y = x

Rena Giron

Rena Giron

Answered question

2021-11-16

Determine the area of the given region. y=x+sinx

Answer & Explanation

Mespirst

Mespirst

Beginner2021-11-17Added 17 answers

We can infer from the graph that the integral's boundaries are between 0 and π 
Thus, we have: 
0π(x+sinx) dx =0πx dx +0πsinx dx  
=x220π+(cosx)0π 
=(π22022)+(cosπ+cos0) 
=π22+((1)+1) 

Result:
=π22+2

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?