Integration

Question

$f\left ( x \right )=$$\int_{-2}^{2}x^{-\frac{2}{7}}dx$

Is this function f(x) is continuous, bounded and differentiable?

(In exam hall is it possible to draw the graph for this function f(x), or some other procedure to follow to ans this)

Comments

One of the Very Basic rules of the Integral Calculus " If limits of the definite integral are from a to b and the function (on which integration is being applied) is discontinuous at some point c then the integration can be Broken down to "a to c + c to b  "

here , it is the case of infinite  discontinuity.. I don't think what are saying is applicable here.. 

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@Deepakk can u please show me how to compute the definite integral of x^(-2) from -2 to 2 by breaking it into [-2,0) and (0,2]

Nice point. Thanks for pointing it out. Will certainly be worth digging about it.  

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here , it is the case of infinite  discontinuity.. I don't think what are saying is applicable here.. 

Thank you @ankitgupta for mentioning. Will dig into it. 

And One long-pending doubt "How to tag someone on GO?"