Search for: Let ddx(F(x))=esinxx,x>0 if ∫14 2esinx2xdx=F(k)−F(1) ), then one of the possible values of k is, Let ddx(F(x))=esinxx,x>0 if ∫14 2esinx2xdx=F(k)−F(1) ), then one of the possible values of k is, A4B8C16D32 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,ddx(F(x))=esinxx⇒∫esinxxdx=F(x) …(i)Now, ∫14esinx2xdx=∫14 esinx2x2⋅dx2=∫116 esinttdt, where t=x2∫142esinx2xdx=[F(t)]16=F(16)−F(1) [using (i)]hence , k=16 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