Thread: Help With Limit Def of Anti Derivative

I never really understood these, please help

Originally Posted by rawkstar

I never really understood these, please help

Do you know something called the Riemann Sum?

Originally Posted by rawkstar

I never really understood these, please help

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.

Originally Posted by mr fantastic

1) integral of 1/x^2 from x = 0 to x = 1.

good call, but with a nasty result.

Originally Posted by rawkstar

I never really understood these, please help

1)

2)

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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