# What is the net area between #f(x)=sinxcosx# in #x in[0,2pi] # and the x-axis?

##### 1 Answer

Dec 5, 2015

#### Explanation:

We may rewrite this function by making use of the double angle trig identities :

We now draw the graph of this function to help decide limits of integration

graph{1/2sin(2x) [-4.933, 4.934, -2.466, 2.467]}

Since this graph is symmetric with period

The net are area bounded between the graph and the x-axis is hence 4 times the area bounded in

ie.