Find the integral of cos^4 x dx.

hEorpaigh3tR

hEorpaigh3tR

Answered question

2022-12-02

Find the integral of cos 4 x d x

Answer & Explanation

Tori Knight

Tori Knight

Beginner2022-12-03Added 6 answers

cos 4 x d x = 3 8 + cos ( 2 x ) 2 + cos 4 x 8 d x = 3 8 d x + 1 2 cos ( 2 x ) d x + 1 8 cos ( 4 x ) d x
= 3 8 ( x ) + 1 2 sin ( 2 x ) 2 + 1 8 sin ( 4 x ) 4 + C
Where C is the integration constant. [ cos ( nx ) dx = sin ( nx ) n ]
= 3 8 x + sin ( 2 x ) 4 + sin ( 4 x ) 32 + C
Hence, cos 4 x d x = 3 8 x + sin ( 2 x ) 4 + sin ( 4 x ) 32 + C . Where C is the integration constant.

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