Area of the Region between y = x^2 + 4 and x + y = 6

[Muhammad Tahir Khan]

Please provide the step-by-step solution for the following problem:

Find the area of the region that is enclosed between the curves y = x^2 + 4 and x + y = 6.

 

[galactus]

This is a simple exercise in integration.

Set the 2 equations equal to each other and solve for x to find your limits of integration.

Integrate the region. Making a graph always helps.