Compute the indefinite integral int (7x^(13)+5x^(15))/(x^7+x^2+1)^3 dx

Christopher Saunders

Christopher Saunders

Answered question

2022-10-23

Compute the indefinite integral
7 x 13 + 5 x 15 ( x 7 + x 2 + 1 ) 3 d x

Answer & Explanation

occuffick24

occuffick24

Beginner2022-10-24Added 13 answers

If P is a polynomial of degree n, then
d d x ( P ( x ) ( x 7 + x 2 + 1 ) 2 ) = Q ( x ) ( x 7 + x 2 + 1 ) 3
where
Q ( x ) = ( x 7 + x 2 + 1 ) P ( x ) 2 ( 7 x 6 + 2 x ) P ( x )
is a polynomial of degree n + 6. To get x 15 in the numerator you need n 9

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