Please, find the integral int frac{10}{(x-1)(x^2+9)} dx

Josalynn

Josalynn

Answered question

2021-09-05

Please, find the integral 10(x1)(x2+9)dx

Answer & Explanation

BleabyinfibiaG

BleabyinfibiaG

Skilled2021-09-06Added 118 answers

We are given: 10(x1)(x2+9)dx
10(x1)(x2+9)dx=
=101(x1)(x2+9)dx=
=10x110(x2+9)+110(x1)dx=
=10(x110(x2+9)dx+110(x1)dx)=
=10(110(12ln|x2+9|13arctan(x3))+110ln|x1|=
=12ln|x2+9|13arctan(x3))+ln|x1|=
=12ln|x2+9|13arctan(x3))+ln|x1|+С
The answer is: 10(x1)(x2+9)dx=12ln|x2+9|13arctan(x3))+ln|x1|+С

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