Book: Mathematics Part-II
Chapter: 7. Integrals
Subject: Maths - Class 12th
Q. No. 5 of Exercise 7.1
Listen NCERT Audio Books - Kitabein Ab Bolengi
5
Find an anti-derivative (or integral) of the following functions by the method of inspection.
sin 2x – 4 e3x
We know that
Therefore, the anti-derivative of sin2x is 
…(1)
Also, 
Therefore, the anti-derivative of 
is 
…(2)
From (1) and (2), we get,
= sin 2x – 4 e3x
Therefore, the anti-derivative of sin 2x – 4 e3x is 
.
5
