Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
300 views
in Indefinite Integral by (65.2k points)

Evaluate: \(\int\frac{3x + 2}{(2x + 3)(3x - 1)}dx = \int\frac{A}{2x + 3} + \frac{B}{3x - 1}dx\)

1 Answer

+1 vote
by (65.5k points)
selected by
 
Best answer

\(\int\frac{3x + 2}{(2x + 3)(3x - 1)}dx = \int\frac{A}{2x + 3} + \frac{B}{3x - 1}dx\)

Let 3x + 2 = A(3x – 1) + B(2x + 3) 

comparing coefficients of x both sides & Constant terms

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...