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16 votes
16 votes
Find the area under the graph of f(x) = (1 + sin(x)) between the lines x = 0 and x = pi

User Jijo Cleetus
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2.7k points

1 Answer

13 votes
13 votes

Given:


f(x)=1+sin(x)

We will find the area under the graph of the function f(x)

To find the area, we will make the integration of the function from x = 0 and x =π

The area under the curve will be as follows:


\begin{gathered} Area=\int_0^(\pi)f(x)dx=\int_0^(\pi)(1+sin(x))dx=(x-cos(x)) \\ \\ =(\pi-cos(\pi))-(0-cos(0))=(\pi-(-1))-(0-1)=5.1416 \end{gathered}

So, the answer will be: Area = 5.1416

User MikO
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3.2k points