Search for: If ∫4ex+6e−x9ex−4e−x dx=Ax+Blog(9e2x−4)+c then 36A+B= If ∫4ex+6e−x9ex−4e−x dx=Ax+Blog(9e2x−4)+c then 36A+B= 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:∫4ex+6e−x9ex−4e−x dx=Ax+Blog(9e2x−4)+cDifferentiate w.r.t x on both sides⇒4ex+6e−x9ex−4e−x=A+B9e2x.29e2x-4⇒4ex+6e−x9ex−4e−x=9A e2x-4A+18B e2x9.e2x-4⇒4ex+6e−x9ex−4e−x=9A ex-4Ae-x+18B ex9.ex-4e-x⇒ equate e-x coefficients on both sides then 6=-4A⇒A=-3/2 equate ex coefficients on both sides then 4=9A+18B⇒4=9-32+18B⇒4=-272+18B⇒B=3536∴36A+B=36-32+3536=-19 Related content CBSE Class 6 Science Chapter 1 Components of Food MCQ Questions with Answers Mother’s Day Quiz with Answers CBSE Class 9 History Chapter 1 MCQ Class 10 Science MCQ Chapter 3 Metals and Non-Metals How to Crack NEET in Drop Year? CBSE Class 9 Social Science MCQ CBSE Class 10 Science MCQs Chapter 2 Acids Bases and Salts CBSE Class 10 Science MCQs Chapter 1 Chemical Reactions and Equations with Answers How to Convert CGPA into Percentage CBSE Class 6 MCQs for All Subjects with Answers