Antiderivative secxtanx
To find the antiderivative of sec(x)tan(x), we can use integration techniques
To find the antiderivative of sec(x)tan(x), we can use integration techniques.
We know that the derivative of sec(x) is sec(x)tan(x). So, let’s use this fact to find the antiderivative.
Let u = sec(x)
Then du = sec(x)tan(x) dx
Rewriting the integral in terms of u, we have:
∫(sec(x)tan(x)) dx = ∫du
The antiderivative of du is simply u + C, where C is the constant of integration.
Therefore, the antiderivative of sec(x)tan(x) is:
∫(sec(x)tan(x)) dx = sec(x) + C
So, sec(x) + C is the antiderivative of sec(x)tan(x), where C is the constant of integration.
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