Simplifying the Integral of e^kx Using Integration Rules: (1/k) * e^(kx) + C

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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