Evaluate - I - -x - 9x2 - 5dx

#160; I = ∫x+9/x^2+5dx #160; #160;= ∫x/x^2+5dx+ ∫9x^2+5dx #160; = 12 log(x^2+5)+9√(5)tan^ 1(x√(5))+c. ...

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Integration by Substitution

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Question

Evaluate : $I = \int \frac{x + 9}{x^{2} + 5} d x$

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