# Wolfram alpha indefinite integral

This integral is given in terms of ArcTan.

In11: Out11 This is mathematically equal to the first integral, but is given in a somewhat different form.

Thus, for example, the Wolfram Language will tell you that is even though this is not true in the special case.

You can get other expressions by adding an arbitrary constant of integration, or indeed by adding any function that is constant except at discrete points.But even though the indefinite integral can have arbitrary constants added, it is still often very convenient to manipulate it without filling in the limits.This is because they need to offer some extra features for Wolfram Alpha Pro users to pay for the service.In6: Out6, the integration variable can be any expression that does not involve explicit mathematical operations.The Wolfram Language tries to give you the most convenient form, following principles acronis true image home 2010ware such as avoiding explicit complex numbers unless your input already contains them.In10: Out10 This integral is given in terms of ArcTanh.However your input has an sv in the dividend.In9: Out9 You should realize that the result for any particular integral can often be written in many different forms.

See for yourself, it'll offer you the pro service if you click the "Try again with additional computational time" on the bottom right.

Tutorial, the Wolfram Language function, integrate f,x gives you the indefinite integral.When I try to run your request at Wolfram Alpha, here's what I get: As you can see in the highlighted portion at the bottom left of the above picture, Wolfram Alpha didn't complete your request because it exceeded the standard computation time.Integrate f,x, and then differentiate it, you always get a result that is mathematically equal to the original expression.Examples indefinite-integral-calculator wolfram en, related Symbolab game phi doi offline full blog posts, advanced Math Solutions Integral Calculator, trigonometric substitution.One of this features is extended computation time.The point is that if s is indeed a variable, if you take a look at the plot in the answer, there seems to be a ridge due to the - term, so for some values of s that ridge might be within your integration.In2: Out2, this gives the indefinite integral.The variable a is assumed to be independent.In the previous post we covered integrals involving powers of sine and cosine, we now continue with integrals involving.If you just break down the definite integration between first the indefinite integral (which it can handle) and then calculate the boundary values and take the difference, it seems to work fine: This is mathematically correct because that is how definite integrals are calculated.