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11. Evaluate:) (1/(x+1)(x+2)dx​

Answer» ONG>Step-by-step EXPLANATION:

We have,

\int \frac{dx}{( x + 1)(x + 2)}  \\

= \int \frac{(x + 2) - (x  + 1)dx}{( x + 1)(x + 2)}  \\

= \int \frac{dx}{( x + 1)}   -  \int \frac{dx}{(x + 2)}  \\

= ln(x + 1)    -  ln(x + 2) + c \\



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