Search for: ∫dx8+3x−x2 is equal to ∫dx8+3x−x2 is equal to A23sin−12x−141+CB32sin−12x−341+CC141sin−12x−341+CDsin−12x−341+C 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:LetI=∫18+3x−x2dx=∫18−x2−3x+322−322dx=∫18−x−322−94dx=∫18+94−x−322dx=∫14122−x−322dxLet x−32=t⇒dx=dt∴I=∫14122−t2dt=sin−1t412+C∵∫dxa2−x2=sin−1xa=sin−1x−32412+C=sin−12x−341+C∵t=x−32 Related content Appreciation Words Wave Optics Mind Map Alternating Current Mind Map for Class 12, JEE & NEET Paramedical Courses After Class 10 Top Courses After 12th Science with PCM, PCB and PCMB Subject Change Application in School and College CBSE Class 10 Result 2024: Is the Release Date Early? Check Expected Schedule Mizoram NEET Merit List 2023 Government Jobs After 12th Arts Stream Chhattisgarh NEET UG Merit List 2023