Search for: The integral ∫sec2x(secx+tanx)9/2dx equals (for some arbitrary constant K) The integral ∫sec2x(secx+tanx)9/2dx equals (for some arbitrary constant K) A−1(secx+tanx)11/2111−17(secx+tanx)2+KB1(secx+tanx)11/2111−17(secx+tanx)2+KC−1(secx+tanx)11/2111+17(secx+tanx)2+KD1(secx+tanx)11/2111+17(secx+tanx)2+K 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:We have,I=∫sec2x(secx+tanx)9/2dxLet secx+tanx=t.. Then, secx−tanx=1/t and,secx(secx+tanx)dx=dt∴ sccxdx=1tdt and, secx=12t+1t∴ I=12∫1tt+1tt9/2dt=12∫1t9/2+1t13/2dt⇒ I=−17t7/2−111t11/2+k⇒ I=−1t11/2t27+111+k⇒ I=-1(secx+tanx)11/2111+17(secx+tanx)2+k 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