My Math Forum Evaluating the integral by interpreting it in form of area.

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 November 25th, 2012, 01:39 PM #1 Newbie   Joined: Jun 2012 Posts: 15 Thanks: 0 Evaluating the integral by interpreting it in form of area. For question a), I know from the book that the area can be found by taking the area of the trapezoid yielding 4. But if 0 and 2 are the domain of the integral wouldn't it just be the area of the triangle? I am sorry for my articulation, English is not my native language. http://img210.imageshack.us/img210/6359 ... reting.png Regards, MP
 November 25th, 2012, 01:47 PM #2 Newbie   Joined: Jun 2012 Posts: 15 Thanks: 0 Re: Evaluating the integral by interpreting it in form of ar I also have one more quick question if you are in will to engage towards. What do I do when the question requests that I evaluate an integral by interpreting it in terms of area? Such as: let S= integral symbol (tell me how to add the integral symbol) let IxI be absolute value of x. S(1-x)dx and S(IxI)dx
 November 26th, 2012, 08:55 AM #3 Senior Member   Joined: Aug 2012 From: New Delhi, India Posts: 157 Thanks: 0 Re: Evaluating the integral by interpreting it in form of ar The integral of a function from a limit of $x=a$to $x=b$ is equal to the area enclosed by the curve between the x-axis under those points. For the image question $\int^2_0 f(x)\,dx=\text{Area of rectangle + area of triangle}$ $=2*1+\frac{1}{2}\,2*2 =2+2 =4$ Similarly, you can find other areas.

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