How do I solve &#x222B;<!-- ∫ --> d x </mrow> sin

Extrakt04

Extrakt04

Answered question

2022-06-13

How do I solve d x sin 4 ( x ) ?
I tried:
d x sin 4 ( x ) = d x ( 1 + cos ( 2 x ) 2 ) 2 = 4 d x ( 1 + cos ( 2 x ) ) 2
What do I do next?

Answer & Explanation

Leland Ochoa

Leland Ochoa

Beginner2022-06-14Added 25 answers

You could continue that route, or
1 sin 4 x d x = csc 4 x d x = csc 2 x + cot 2 x csc 2 x d x
then let u = cot x
1 + u 2 d u = u 1 3 u 3 + C = cot x 1 3 cot 3 x + C

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