Search for: If f(x)=ex1+ex,l1=∫f(−a)f(a) xg{x(1−x)}dx .Then the value of I2/I1, is If f(x)=ex1+ex,l1=∫f(−a)f(a) xg{x(1−x)}dx .Then the value of I2/I1, is A-1B1/2C2D1 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, f(x)=ex1+ex f(−x)=e−x1+e−x=11+ex∴ f(x)+f(−x)=ex1+ex+11+ex=1⇒f(a)+f(−a)=1Now, I1=∫f(−a)f(a) xg{x(1−x)}dx …(i)Using ∫ab f(a+b−x)=∫ab f(x) and f(−a)+f(a)=1, we getI1=∫f(−a)f(a) (1−x)g{(1−x)(1−(1−x))}dx⇒ I1=∫f(−a)f(a) (1−x)g{x(1−x)}dx⇒ I1=∫f(−a)f(a) (1−x)g{x(1−x)}dx ..(ii)Adding (i) and (ii), we get2I1=∫f(−a)f(a) g{x(1−x)}dx⇒ 2I1=I2⇒I2I1=2 Related content How to use NEET UG College Predictor 2024 to find your dream Medical College Is a Gap Certificate for NEET Repeaters Necessary? General Knowledge Questions With Answers on Islamic CBSE Class 10 Worksheets NEET Rank Predictor 2024: Calculate Your Rank by Marks Why to Choose Infinity Learn NEET Rank Predictor 2024 – The Most Accurate NEET Rank Predictor CBSE Class 10 Science MCQs CBSE Class 9 Science Structure of Atom MCQs Class 7 MCQs for All Subjects with Answers Raidas ke Pad Class 9