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Blericker74

Blericker74

Answered question

2022-06-29

Integration of 1 x 4 + 1 d x

Answer & Explanation

Sophia Mcdowell

Sophia Mcdowell

Beginner2022-06-30Added 14 answers

I think you can do it this way.
1 x 4 + 1   d x = 1 2 2 1 + x 4   d x   = 1 2 ( 1 x 2 ) + ( 1 + x 2 ) 1 + x 4   d x   = 1 2 1 x 2 1 + x 4   d x + 1 2 1 + x 2 1 + x 4   d x   = 1 2 1 1 x 2 ( x + 1 x ) 2 2   d x + same trick
antennense

antennense

Beginner2022-07-01Added 7 answers

1 1 + x 4 d x = 1 2 1 + x 2 + 1 x 2 1 + x 4 d x
1 + x 2 1 + x 4 d x = 1 x 2 + 1 ( x 1 x ) 2 + 2 d x
Set x 1 x = 2 tan ϕ
1 x 2 1 + x 4 d x = 1 1 x 2 ( x + 1 x ) 2 2 d x
Set x + 1 x = 2 sec ψ

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