Plese solve this question.How can i solve this answer fast

hi saurav !! hope you are well and doing fine.

so in this question to do it easily, rationalize by multiplying in the denominator and numerator by 1-cos2x. after this u will get in the form of square which will get cencelled by the root. then simplyify my deviding and then apply integration directly. also remebr to devide it by the coefficient of x.

hope this clears your doubt.