# What is the integral of sqrt(49-x^2)dx from [-7,7]?

##
#int_-7^7sqrt(49-x^2)dx#

Without even doing integration, I can tell you it will be

#49/2pi#

The graph of

#A = (7^2pi)/2 = 49/2pi " " u^2#

We can see from the graph that it indeed is a semi-circle of radius

Hopefully this helps!

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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