# Thread: Help With Limit Def of Anti Derivative

1. ## Help With Limit Def of Anti Derivative

2. Originally Posted by rawkstar

Do you know something called the Riemann Sum?

3. Originally Posted by rawkstar

1) integral of 1/x^2 from x = 0 to x = 1. Draw a graph and draw the rectangles (n rectangles each of width 1/n) to see this.

2) integral of sin(x) from x = 0 to x = pi. Draw a graph and draw the rectangles (n rectangles each of width pi/n) to see this.

4. Originally Posted by mr fantastic
1) integral of 1/x^2 from x = 0 to x = 1.
good call, but with a nasty result.

5. Originally Posted by rawkstar

1) $\int_0^1x^2\,dx$

2) $\int_0^1\sin{{\pi}x}\,dx$

6. Originally Posted by mr fantastic
1) integral of 1/x^2 from x = 0 to x = 1. Draw a graph and draw the rectangles (n rectangles each of width 1/n) to see this.

Mr F says: My mistake. It should be integral of x^2.

2) integral of sin(x) from x = 0 to x = pi. Draw a graph and draw the rectangles (n rectangles each of width pi/n) to see this.
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