Integral of e^kx
To find the integral of e^kx, we use integration rules
To find the integral of e^kx, we use integration rules.
Let’s start by considering the integral:
∫ e^kx dx
To integrate this expression, we can use a basic rule of integration that states:
∫ e^(ax) dx = (1/a) * e^(ax) + C
where ‘a’ is a constant and C is the constant of integration. In this case, ‘a’ is equal to ‘k’.
Applying this rule to our integral, we can rewrite it as:
(1/k) * ∫ e^(kx) dx
So, the integral of e^kx is equal to:
(1/k) * e^(kx) + C
where C is the constant of integration.
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