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Let f(x)=|{:(secx,cosx ,se c^2x+cotxcose...

Let f(x)=`|{:(secx,cosx ,se c^2x+cotxcosecx),(cos^2x ,cos^2x, cos e c^2x),(1,cos^2x, cos^2x):}|` . Prove that `int_0^(pi//2)f(x)dx=-pi/4-8/(15)` .

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