Question 1040373: Find the area of the region bounded by y = x3, the x-axis, the y-axis and the line x = 2
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! i believe it will be the integral of x^3 in the interval between x = 0 and x = 2.
the integral of x^3 is equal to 1/4 * x^4.
the area under the curve between x = 0 and x = 2 would therefore be the value of 1/4 * x^4 from x = 0 to x = 2.
when x = 2, the value of the integral is 1/4 * 2^4 = 1/4 * 16 = 4.
when x = 0, the value of the integral is 1/4 * 0^4 = 1/4 * 0 = 0
the area is therefore 4 square units.
a very good online tutorial on calculus can be found here.
http://tutorial.math.lamar.edu/
here's an online calculator that can help you find the derivative of a function.
http://www.derivative-calculator.net/#
here's an online calculator that can help you find the integral of a function.
http://www.integral-calculator.com/
here's an online calculator that can help you find the area under a curve.
http://www.wolframalpha.com/widgets/gallery/view.jsp?id=d56e8a800745244232d295d3eae74aae
i recommend you try to do the problems manually first and then use the calculator to check your work and/or to show you what the solution should be if you are stuck.
the goal is for you to learn how to do the problems yourself without the use of an online calculator.
going to the calculator right away defeats the purpose of you learning how to do it on your own.
hopefully this is what you were looking for.
i did use the calculators, but only to verify that i was doing it correctly, since i haven't done these in quite a while.
good luck with it.
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