`(sec^(2)x-7)/(sin^(7)x)`

int(1-7cos^(2)x)/(sin^(7)xcos^(2)x)dx=(f(x))/((sinx)^(7))+C , then f(x) is equal to

int(1-7cos^(2)x)/(sin^(7)xcos^(2)x)dx=(f(x))/((sinx)^(7))+C , then f(x) is equal to

int(1-7cos^(2)x)/(sin^(7)xcos^(2)x)dx=(f(x))/((sinx)^(7))+C , then f(x) is equal to

int(1-7cos^(2)x)/(sin^(7)xcos^(2)x)dx=(f(x))/((sinx)^(7))+C , then f(x) is equal to

int_(0)^(pi//2)(sin^(7//2)x)/((sin^(7//2)x + cos^(7//2)x))dx=

int(sin^(6)x)/(cos^(8)x)dx=tan7x+C(b)(tan^(7)x)/(7)+C (c) (tan7x)/(7)+C(d)sec^(7)x+C

The integral int(sec^(2)x)/((sec x+tan x)^((9)/(2)))dx equals (for some arbitrary constant K)-(1)/((sec x+tan x)^((11)/(2))){(1)/(11)-(1)/(7)(sec x+tan x)^(2)}+K(1)/((sec x+tan x)^((11)/(2))){(1)/(11)-(1)/(7)(sec x+tan x)^(2)}+K-(1)/((sec x+tan x)^((11)/(2))){(1)/(11)+(1)/(7)(sec x+tan x)^(2)}+K

Integrate the functions (1.)(sec)^(2)(7-4x) (2.) (sin^(-1)x)/(sqrt(1-x^(2)))

Integrate the functions (1.)(sec)^2(7-4x) (2.) sin^(-1)x/sqrt(1-x^2)

The set of all values of x satisfying the inequality (sec^(-1)x)^(2)-7(sec^(-1)x)+12>=0 is