∫ e^ 3xdx Put u= 3x dx= 13du = 13∫ e^udu = 13e^u+c Putting u= 3k = 13e^ 3k+c . ...

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Integration of Trigonometric Functions

∫ e -3x dx

Question

$\int e^{- 3 x} d x$

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Solution

$\int e^{- 3 x} d x$
Put $u = - 3 x$
$d x = - \frac{1}{3} d u$
$= - \frac{1}{3} \int e^{u} d u$
$= - \frac{1}{3} e^{u} + c$
Putting $u = - 3 k$
$= - \frac{1}{3} e^{- 3 k} + c$ .

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