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
731 views
in Indefinite Integral by (65.2k points)

Evaluate: \(\int\frac{3sinx}{3 + 4cosx}dx\)

1 Answer

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

\(\int\frac{3sinx}{3 + 4cosx}dx\)

\(\int\frac{3\frac{dt}{-4}}{t} = \frac{-3}{4}\int\frac{1}{t}dt\)

= \(\frac{-3}{4}\)log t + c 

= \(\frac{-3}{4}\)log(3 + 4 cos x) + c 

put 3 + 4 cos x = t 

– 4 sinx dx = dt 

sin x dx = \(\frac{dt}{-4}\)

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

...