Find Area Under Curve
How to find the area under (and bewteen) curves using definite integrals; tutorials, with examples and detailed solutions are presented . A set of exercises with answers is presented at the end.
Area = x1x2 [ f(x) - h(x) ] dx
Review: formulas to calculate the area between 2 curves using definite integrals.
1 - If f and h are functions such that f(x) >= h(x) for all x in the interval [x1 , x2], the area shown below is given by
1. Find the area of the region enclosed by y = (x-1) 2 + 3 and y = 7
2. Find the area of the region bounded by x = 0 on the left, x = 2 on the right, y = x 3 above and y = -1 below.
Answers to Above Exercises
More references on
integrals and their applications in calculus.