Question

find the nth deravative of cos(x)cos(2x)cos(3x)​

Answer 1

Step-by-step explanation:

ANSWER

I=∫cosx⋅cos2x⋅cos3xdx

=∫

2

1

(2cosx⋅cos3x)cos2xdx

=∫

2

1

(cos4x+cos2x)cos2xdx

=∫

2

1

(cos4x⋅cos2x+cos

2

2x)dx

=∫

4

1

(2cos

4

x⋅cos2x+2cos

2

2x)dx

=

4

1

∫(cos6x+cos2x+2cos

2

2x)dx

=

4

1

∫(cos6x+cos2x+cos4x+1)dx

=

4

1

[

6

sin6x

+

2

sin2x

+

4

sin4x

+x]+c.

Answered By

toppr

2180 Views

How satisfied are you with the answer?

This will help us to improve better

answr

Get Instant Solutions, 24x7

No Signup required

girl

More Questions by difficulty

EASY

MEDIUM

HARD

Live Test

Practice from

20+ Live Tests

and see where you stand among the best in India

Physics

Chemistry

Mathematics

Biology

Related Questions to study

Evaluate the following integral

∫

1+cosx

1−cosx

MEDIUM

Study later

View Answer

∫

x

6

4+x

2

dx=

x

5

A(4+x

2

)

2

3

(Bx

2

−6)

+c