Search for: If ∫2ex+3e−x3ex+4e−xdx=Ax+Blog3e2x+4+C, then If ∫2ex+3e−x3ex+4e−xdx=Ax+Blog3e2x+4+C, then AA=−34,B=124BA=34,B=−124CA=14,B=124DA=−34,B=14 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∫2ex+3e−x3ex+4e−xdx=∫2e2x+33e2x+4dx 2e2x+3=A3e2x+4+B6e2x⇒ 2e2x+3=(3A+6B)e−2x+4AOn comparing both sides, we get2=3A+6B----i3=4A----iiFrom Eqs. (i) and (ii), woe get 2=94+6B⇒ 6B=2−94=−14 ⇒B=−124 ⇒2e2x+33e2x+4dx=∫33e2x+443e2x+4dx−124∫6e2x3e2x+4dx =34x−124log3e2x+4+C 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