Question

Evaluate the definite integral. Use a graphing utility to verify your result.

Answer 1

Step 1:

The integral is .

Consider .

Differentiate with respect to on each side.

Substitute and in above expression.

Step 2:

Power rule of integration:

Replace with .

.

.

Check:

Graph the function.

Observe the graph,the area of the region is 10.746 Sq-units.

Solution:

.