Question

Write a report on Motivational Seminar, which was organized by your school to motivate students to achieve their goals. ​

Answer 1

Answer:

Let I=∫

sin

2

xcos

2

x

sin

6

x+cos

6

x

​

dx

=∫

sin

2

xcos

2

x

(sin

2

x)

3

+(cos

2

x)

3

​

dx

=∫

sin

2

xcos

2

x

(sin

2

x+cos

2

x)(sin

4

x+cos

4

x−sin

2

xcos

2

x)

​

dx

=∫

sin

2

xcos

2

x

(sin

2

x+cos

2

x)

2

−3sin

2

xcos

2

x

​

dx

=∫(

sin

2

xcos

2

x

1

​

−3)dx

=∫

sin

2

xcos

2

x

sin

2

+cos

2

x

​

dx−3x+C

=∫sec

2

xdx+∫cosec

2

xdx−3x+C

I=tanx−cotx−3x+C

Explanation: