Search for: ∫cosx−sinx1+sin2xdx is equal to ∫cosx−sinx1+sin2xdx is equal to Asinx+cosx+CB−(sinx+cosx)+CC−1(sinx+cosx)+CDNone of the above Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:LetI=∫cosx−sinx1+sin2xdx=∫cosx−sinxsin2x+cos2x+2sinxcosxdx ∵sin2x+cos2x=1;sin2x=2sinxcosx=∫cosx−sinx(sinx+cosx)2dxLet cosx+sinx=t⇒−sinx+cosx=dtdx⇒ dx=dt(cosx−sinx)∴ I=∫cosx−sinxt2⋅dt(cosx−sinx)=∫1t2dt=∫t−2dt=t−2+1−2+1+C=−1cosx+sinx+C Related content Nucleus Diagram for Class 9 Neuron Diagram Class 9 Human Heart Diagram Class 10 CBSE Class 7 Science Chapter 1 Nutrition in Plants MCQ Questions with Answers CBSE Class 9 English Worksheet – The Road not Taken 50+ GK Questions and Answers for Class 8 “Kabir Ki Sakhiyan” MCQ Questions for Class 9 Hindi with Answers Kshitij, Kritika, Sparsh, Sanchayan Bhag 1 CBSE Class 7 English Honeycomb Chapter 1 Three Questions MCQ Questions with Answers CBSE Class 9 English Beehive Book Poem 1 The Road Not Taken MCQ Questions with Answers MCQs Questions with Answers for Class 9 English Chapter 1 The Fun They Had