Search for: ∫0π/2 sinx1+cos2xdx is equal to ∫0π/2 sinx1+cos2xdx is equal to Aπ2Bπ4C3π2Dπ 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:Let I=∫0π/2 sinx1+cos2xdxput cosx=t⇒−sinxdx=dt⇒dx=−dtsinxFor limit when x=0⇒t=cos0=1 [∵t=cosx]and when x=π2⇒t=cosπ2=0∴ I=∫10 sinx1+t2⋅dt−sinx.=−∫10 11+t2dt=∫01 11+t2dt=11tan−1t110 ∵∫1a2+x2dx=1atan−1xa=−0−π4=π4 Related content Class 9 Science MCQs CBSE Single Girl Child Scholarship 2024 – Application, Eligibility, Document, & How to Apply Mastering Note-Making for Class 11 Hornbill Chapter 3: A Comprehensive Guide 5 Toughest and Easiest Chapters in CBSE Class 11 Maths Simple Equations for Class 7 Worksheet Government Job Oriented Courses After 10th CBSE Class 10 Board Preparation Tips 2025 Planets Name Diploma Courses After Class 10th Can I Give NDA After Class 11?