In this video, we will learn to integral of
cosine of x + pi.
Let I be equal to integral of cosine of x
+ pi w.r.t. x.
We know the trigonometry identity cos(pi +x)
= -cos x. The link of the video appearing
at the upper right corner of this video contains
the proof of the trigonometry identity. The
link of the video is also given in the description
section.
So, application of above identity gives us,
I is equal to minus integral of cosine of
x w.r.t. x.
We know, the integral of cosine of x is sine
of x. So, I is equal to minus sine of x +
capital c. Capital c is the arbitrary constant
of indefinite integral. Never forget to add
this constant.
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