Can this: \frac{\cos x}{4+\sin^2 x} Be re-written using the fact that: \cot(t)=\frac{\cos(t)}{\sin(t)}=\frac{1}{\tan(t)}

Zaynah Dunn

Zaynah Dunn

Answered question

2022-02-26

Can this:
cosx4+sin2x
Be re-written using the fact that:
cot(t)=cos(t)sin(t)=1tan(t)

Answer & Explanation

blokova5u8

blokova5u8

Beginner2022-02-27Added 7 answers

cosx4+sin2xdx=14+u2dy
Substituting u=sinx
The result is
14+u2du=12(1+(u2)2)d(u2)=12arctan(u2)+C
Substituting back u=sinx we get the final result:
cosx4+sin2xdx=12arctan(sinx2)+C

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