Evaluate the integral. \int \frac{10}{(x-1)(x^{2}+9)}dx

geduiwelh

geduiwelh

Answered question

2021-11-09

Evaluate the integral.
10(x1)(x2+9)dx

Answer & Explanation

comentezq

comentezq

Skilled2021-11-10Added 106 answers

Step 1
Explanation:
We need to find that,
10(x1)(x2+9)dx
Take constant out
101(x+1)(x2+9)dx
Using partial fraction concept
1(x1)dxx+1(x2+9)dx
ln|x1|12ln(x2+9)110tan1x3
Step 2
Hence,
ln|x1|12ln(x2+9)110tan1x3+C

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