Expert: Ahmed Salami - 8/8/2004

Question
What is the area under the curve y = x² + 1 from x = 0 to x = 1 ?  

Answer
Hi liz,
The area under a curve is the definite integral evaluated between the interval.
So the area in this case is the definite integral of x² + 1 from x = 0 to x = 1
The integral of x² + 1 is x^3/3 + x + c
Evaluating from x = 0 to 1 gives
(1/3 + 1 + c)-(0 + 0 + c)= 4/3
Thats it.
Good luck.
Regards.