AREA BETWEEN PARABOLA AND LINE USING INTEGRATION WORKSHEET

Sketch the graphs , shade the bounded region and find the area bounded by the given expressions.

Problem 1 :

y = x² + 1, y = x, x = -1 and x = 2

Solution

Problem 2 :

y = √x and y = x/4

Solution

Problem 3 :

x = 1/y², y = x and y = 2

Solution

Problem 4 :

x = 2 - y², y = -x

Solution

Problem 5 :

y = x² and y = 4x

Use vertical rectangles (dx).

Solution

Problem 6 :

y = x² and y = 4x

Use horizontal rectangles (dy).

Solution