The integral ∫ (x/(x sin x + cos x))²dx is equal to (where C is a constant of integration):

(C) tan x - (x sec x)/(x sin x + cos x) + C

(A) sec x - (x tan x)/(x sin x + cos x) + C

(B) sec x + (x tan x)/(x sin x + cos x) + C

(D) tan x + (x sec x)/(x sin x + cos x) + C

Integral Calculus: JEE Main 2020 Mathematics question

JEE Main 2020 · 4 Sep, Morning shift · Q4052

JEE Main 20204 Sep, Morning shiftMathematicsEasyIntegral Calculus369× since 2002

The integral

\int {{{\left( {{x \over {x\sin x + \cos x}}} \right)}^2}dx}

is equal to (where C is a constant of integration):

JEE Main 2020 · 4 Sep, Morning shift · Q4052

JEE Main 20204 Sep, Morning shiftMathematicsEasyIntegral Calculus369× since 2002

The integral

\int {{{\left( {{x \over {x\sin x + \cos x}}} \right)}^2}dx}

is equal to (where C is a constant of integration):