Calculate a definite integral with Wolfram|Alpha?

Questions
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1

I know wolfram|Alpha has the integral syntax, but how do I enter a definite integral such as this?

definiteintegral.png
definiteintegral.png101×122 1.89 KB

My goal here is to solve the definite integral by the limit definition, but even if it’s solved another way, I just want to check my answer to make sure I am correct. If I cannot enter it with this format, is there another simpler way I can solve the problem using wolfram|alpha to check my answers?

2

Jessica,

Will this work for what you need:

Integrate[x, {x, -2, 3}]
5/2

If you need faster numerical results then use the form:

Integrate[x, {x, -2.0, 3.0}]
2.5

Best,

OL.

3

Your question is ambiguous: do you just want some way of entering the definite integral in Wolfram|Alpha? Or, instead, do you want the Mathematica (i.e., Wolfram Language) form,

If the latter, then Otto Linsuain gave the answer.

But if the former, then among other possibilities, the following works:

integrate x for x from -2 to 3

So does the shorter form:

integrate x from -2 to 3