Find the area between the x-axis and the graph y = x2 from x = 0 to x = 5.

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Question

Find the area between the x-axis and the graph y = x2 from x = 0 to x = 5.

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anonymous · Answer

The equation for the area is: $$\int\limits_{0}^{5} x^2$$
$$=1/3 x^3 |^5_0$$
=125/3

anonymous · Answer

Oh, i see what you did! Okay; thank you very much! :))

anonymous · Answer

What would you do if x was a part of an inequality??
Like, the next one says 
Find the area between the x-axis and y = x^3 when 2 ≤ x ≤  5.

anonymous · Answer

It would be: $$\int\limits_{2}^{5}x^3$$

Notice how the bounds of the integral change with the inequality.

anonymous · Answer

Oooh, I see. So you plug it in the same, really.

anonymous · Answer

Yea, but the anti derivative would be different, also don't forget to add the dx to the end of the integral like I did

anonymous · Answer

Yeah, i added the dx at the end :)
Thank you ssOOOOOOOOOOOSOSOSOSO Much!!! :)))))))))

anonymous · Answer

no problem.