# Let f (x) = cos x − sin x for 0 ≤ x ≤ π/3.Find the area A of the region between the graph of f and the x-axis on the given interval.

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Let f (x) = cos x − sin x for 0 ≤ x ≤ π/3.

Find the area A of the region between the graph of f and the x-axis on the given interval.

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Step 1 help_outlineImage Transcriptionclosecons Consider the given function T/3 f(x)= cosx-sin x and given interval 0 s x fullscreen
Step 2 help_outlineImage Transcriptionclosecons SO area under the graph of function and the given interval 3 (cos x-sin x)dx Area 0 fullscreen
Step 3 help_outlineImage Transcriptionclosecons Now solve this integration 3 Area =(c cos x-sin x)dx 0 sin x dx 0 =-sin x-cos x 1 2 2 1 2 2 1-3 2 fullscreen

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### Calculus 