secx tanx dx
To integrate sec(x)tan(x) dx, you can use a substitution
To integrate sec(x)tan(x) dx, you can use a substitution. Let’s assume u = sec(x).
First, differentiate u with respect to x:
du/dx = sec(x)tan(x) dx
Rearranging this equation, we have:
sec(x)tan(x) dx = du
Now we can rewrite the integral with the substitution:
∫sec(x)tan(x) dx = ∫du
Integrating du is straightforward:
∫du = u + C
Substituting back u = sec(x), we get:
∫sec(x)tan(x) dx = sec(x) + C
Therefore, the integral of sec(x)tan(x) dx is sec(x) + C, where C is the constant of integration.
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