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int(pi/3)^(pi/4) cosecx d(sinx)...

`int_(pi/3)^(pi/4) cosecx d(sinx)`

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Evaluate the following integrals: int_(pi/6)^(pi/4) cosecx dx

int_(pi/3)^(pi/2) sinx dx

Evaluate the definite integral: int_(pi/6)^(pi/4)(cosecx)dx

int_0^(pi/4) (cos x- sin x) dx + int_(pi/4)^((5pi)/4) (sinx-cosx) dx + int_(2pi)^(pi/4) (cosx- sinx) dx =

int_(0)^(pi//4)(cosx-sinx)dx+int_(pi//4)^(5pi//4)(sinx-cosx)dx+int_(2pi)^(pi//4)(cosx-sinx)dx is equal to

int_(0)^(pi//4)(cosx-sinx)dx+int_(pi//4)^(5pi//4)(sinx-cosx)dx+int_(2pi)^(pi//4)(cosx-sinx)dx is equal to

If int_(pi/4)^((3pi)/4) x/(1+sinx)dx=k(sqrt(2)-1) , then k = (A) 0 (B) pi (C) 2pi (D) none of these

If int_(pi/4)^((3pi)/4) x/(1+sinx)dx=k(sqrt(2)-1) , then k = (A) 0 (B) pi (C) 2pi (D) none of these