Expert: Ahmed Salami - 8/8/2004

Question
What is the area  under the curve y = x³ from x = 1 to x = 2  ?  

Answer
Hi liz,
Like i replied in one of your questions, the area under a curve is the definite integral evaluated between the interval.
So the area in this case is the definite integral of x³ from x = 1 to x = 2
The integral of x³ is x^4/4 + c
Evaluating from x = 1 to 2 gives
(16/4 + c)-(1/4 + c)= 15/4
Thats it. But remember that knowing the method is paramount.
Good luck.
Regards.