Search for: If In=∫π/4π/2 cotnxdx, then I1+I3,I2+I4,I3+I5,I4+I6,… are in If In=∫π/4π/2 cotnxdx, then I1+I3,I2+I4,I3+I5,I4+I6,… are in AA.PBG.PCH.PDnone of these 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, In=∫π/4π/2 cotnxdx⇒In+2=∫π/4π/2 cotn+2xdx∴In+In+2=∫π/4π/2 cotnx+cotn+2xdx=∫π/4π/2 cotnxcosec2xdx⇒In+In+2=−∫10 t11dt, where t=cotx⇒In+In+2=−tn−1n+110=1n+1⇒1In+In+2=n+1 ⇒1I1+I3,1I2+I4,1I3+I5,… are in A.P.⇒I1+I3,I2+I4,I3+I5,… are in H.P. Related content CBSE Class 11 English Core Writing and Grammar – Tenses Worksheet Top 10 Maths Project for Class 6 Class 10 Maths MCQs How to Download NTA NEET Admit Card 2024 Rashi And Nakshatra Quiz CBSE MCQ for Class 10 Science Genes – Definition, Structure, Diagram and its Types Octal to Binary Converter Km to cm Conversion mm to km Conversion