Find the integral of the given function w.r.t - x

$y = e^{(5 x + 10)}$

$\frac{e^{(5 x + 10)}}{5} + c$

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$e^{(5 x + 10)} + c$

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$\frac{e^{(5 x + 10)}}{5 x + 10} + c$

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$\frac{1}{e^{(5 x + 10)}} + c$

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Solution

The correct option is A
$\frac{e^{(5 x + 10)}}{5} + c$

$I = \int e^{(5 x + 10)} d x = \int e^{u} \frac{d u}{5}$

= $\frac{1}{5} e^{u} + c$

= $\frac{1}{5} e^{(5 x + 10)} + c$

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