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-ln|cos x| + C

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Q: What is the anti-derivative of a tangent function?
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Related questions

What is the antiderivative of zero?

The antiderivative of a function which is equal to 0 everywhere is a function equal to 0 everywhere.


Is the tangent function periodic?

Yes, the tangent function is periodic.


How integration is reverse process of differentiation?

For example, the derivate of x2 is 2x; then, an antiderivative of 2x is x2. That is to say, you need to find a function whose derivative is the given function. The antiderivative is also known as the indifinite integral. If you can find an antiderivative for a function, it is fairly easy to find the area under the curve of the original function - i.e., the definite integral.


What is an antiderivative?

It is an inverse function of a derivative, also known as an integral.


Let f be an odd function with antiderivative F. Prove that F is an even function. Note we do not assume that f is continuous or even integrable.?

An antiderivative, F, is normally defined as the indefinite integral of a function f. F is differentiable and its derivative is f.If you do not assume that f is continuous or even integrable, then your definition of antiderivative is required.


Is tangent an even function?

No.


What is the function which outputs an angle when a tangent value is input?

The inverse tangent, also called the arc-tangent.


What is arc tg?

It is probably arctan or arc tangent, the inverse of the tangent function.


What do the asymptotes represent when you graph the tangent function?

When you graph a tangent function, the asymptotes represent x values 90 and 270.


What is a function whose graph has one or more breaks?

The tan [tangent] function.When a function has two or more brakes, this is not a continuous function, but it can be a continuous function in some intervals such as the tangent does.


What is the reciprocal of a tangent?

It is the cotangent function.


Can a function have more than one antiderivative?

yes, look at the function f(x)=3x^2 The antiderivative is x^3+C where C is the constant and is more than one value for C. In fact, 3x^2 will have an infinite number of antiderivatives.