Actually, using WolframAlpha to compute integrals is quite overkill (but it’s also a strict requirement for laziness). Recently, I’ve been studying Wolfram Language and slowly discovering new ways to play with it.
This resource is enough for me to study for a long time.
Below, I’ll write down how to use WolframAlpha to compute integrals (I rarely use the online version, mainly using the integrated WolframAlpha in Mathematica), but the usage is essentially the same.
WolframAlpha supports natural language input, but currently does not support Chinese. If you are just using Mathematica to write code calculations instead of using the built-in WolframAlpha, natural language input is not available. For example, ln cannot be written directly as ln; it must be written as Log without a base (because it’s programming, so it must be strict).
First, you can preview the syntax for computing integrals in Mathematica (integrated with WolframAlpha): Integrate — Wolfram Language Documentation
Of course, you can also use the online WolframAlpha to compute:
You can also take a look at the input format: Wolfram|Alpha Examples: Integrals
In Mathematica, you can also use WolframAlpha by just entering == at the beginning of the input, which changes the cursor to the spiky style of the equals sign (^_^)
(Actually, the integration of WolframAlpha into Mathematica is super convenient.)
Using WolframAlpha, try calculating the following integral: $\int_{0}^{1/2}arcsinx{\mathrm{d} x}$
1 | Integrate[arcsinx,{x,0,1/2}] |
integrate x^2 sin^3 x dx
