Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 5 of Exercise 7.1

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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 .


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