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Dwllane4

Dwllane4

Answered question

2022-06-06

Antiderivative of 1 x n 1 x
Is there a simple antiderivative of 1 x n 1 x , n N ?
This functions seems realy easy, but if I try the product rule, I get a worse fraction.

Answer & Explanation

mar1nerne

mar1nerne

Beginner2022-06-07Added 20 answers

Step 1
Use the fact that
x n 1 = ( x 1 ) ( 1 + x + x 2 + . . . + x n 1 )
Step 2
1 x n 1 x d x = ( 1 + x + x 2 + + x n 1 ) d x

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