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Algebraic Identities

Evaluate the ...

Question

Evaluate the following integration w.r.t. $x$
$\int [e^{2 - 5 x} + \frac{2}{6 x + 1}] d x$

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Solution

According to question,

$\int e^{2 - 5 x} d x + \int \frac{2}{6 x + 1} d x$

$⟹ - \frac{e^{2 - 5 x}}{5} + \frac{2 l n (6 x + 5)}{6} + C$

$⟹ - \frac{e^{2 - 5 x}}{5} + \frac{l n (6 x + 5)}{3} + C$

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