What is &#x222B;<!-- ∫ --> d x </mrow> sin &#x2

Oakey1w

Oakey1w

Answered question

2022-06-23

What is d x sin x ?
I'm looking for the antiderivatives of 1/sin x. Is there even a closed form of the antiderivatives? Thanks in advance.

Answer & Explanation

massetereqe

massetereqe

Beginner2022-06-24Added 21 answers

Explanation:
csc x   d x = csc x ( csc x cot x ) csc x cot x   d x = csc x cot x + csc 2 x csc x cot x   d x = ln | csc x cot x | + c
Tristian Velazquez

Tristian Velazquez

Beginner2022-06-25Added 7 answers

Explanation:
Write this as sin ( x ) sin 2 ( x ) d x = sin ( x ) 1 cos 2 ( x ) d x .
Now let u = cos ( x ), and use the fact that
1 1 u 2 = 1 2 ( 1 + u ) + 1 2 ( 1 u ) ..

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