JEE Previous Year QuestionIf ∫cosx−cosαsin2α−sin2xdx=f(x)+Ax+B and B∈R, thenTopic: JEE PYQAnswer: C. Full step-by-step solution below.Af(x)=2sinx,A=cosαBf(x)=2sinx,A=2cosαCf(x)=sinx,A=cosαDf(x)=sinx,A=2cosαCorrect answer: CSolution(c) ∫cosx−cosαsin2α−sin2xdx=∫cosx−cosαcos2x−cos2αdx=∫cosx+cosαdx=sinx+xcosα+c∴f(x)=sinx&A=cosαMore Indefinite Integration PYQsIf ∫x71−x4dx=f(x)(1−x4)n+C, then…∑1+2cos5xcos7x−cos8xdx=If…If x=1 and…∑4cos2x−5sin2xcosxdx=