Find the area bounded bythe curve y=cox,line joining [-pi/4,cos(-pi/4)] and [0,2],the line joining [pi/4,cos(pi/4)] and [0,2] .

i have doubt on my answer which is almost 0[my answer]

Please check your answer then. Applying the property of even function here will be helpful. That could be a case I can expect that you have integrated the whole area in one integrand which could have cancelled the area lying in the alternate quadrants.

Use the limits carefully and apply the property for even functions.