`f(x)=|(secx,cos x,sec^2x + cot x cosecx),(cos^2x,cos^2x,cosec^2 x),(1,cos^2x,cos^2x)|` then `int_0^(pi/2) f(x) dx=.....`

Let f(x)= |{:(secx,cosx, sec^2x+cotx cosecx), (cos^2x, cos^2x, cosec^2x),(1,cos^2x, cos^2x):}| Prove that int_0^(pi//2)f(x)dx=-pi/4-8/(15) .

Let f(x)=|[secx,cosx,sec^2x+cotxcos ecx],[cos^2x,cos^2x, cosec^2x],[1,cos^2x,cos^2x]| then, int_-pi^(pi)f(x)dx equals

Let f(x)=|[secx,cosx,sec^2x+cotxcos ecx],[cos^2x,cos^2x, cosec^2x],[1,cos^2x,cos^2x]| then, int_-pi^(pi)f(x)dx equals

Let f(x)=|[secx,cosx,sec^2x+cotxcosecx],[cos^2x,cos^2x,cosec^2x],[1,cos^2x,cos^2x]| Prove that int_0^(pi/2)f(x)dx=-pi/4-8/(15)

Let f(x) = |{:(secx,cosx,sec^(2)x+cotx cosecx),(cos^(2)x,cos^(2)x,cosec^(2)x),(1,cos^(2)x,cos^(2)x):}| then find the value of int_(0)^(pi//2) f(x) dx.

Let f(x) = |{:(secx,cosx,sec^(2)x+cotx cosecx),(cos^(2)x,cos^(2)x,cosec^(2)x),(1,cos^(2)x,cos^(2)x):}| then find the value of f_(0)^(pi//2) f(x) dx.

Let f(x)=|[sec^2x,1,1],[cos^2x,cos^2x,cosec^2x],[1,cos^2x,cot^2x]| , then

If f(x)=|(sec^(2)x,1,1),(cos^(2)x,cos^(2)x,cosec^(2)x),(1,cos^(2)x,cot^(2)x)| , then int_(0)^(pi//4)f(x)dx=

Let f(x)=|[sec^2x,1,1],[cos^2x,cos^2x,cosec^2x],[1,cos^2x,cot^2x]| , then ∫ _ 0 ^( π/2) ​ ​ f(x)dx=