Question

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

Answer 1

Step 1:

The definite integral is .

Consider

Differentiate with respect to on each side.

                     (Since )

Change of integral limits:

Change of integral limits:

Upper limit:If then          (Since )

Lower limit:If then                           (Since )

Substitute and in .

Step 2:

Power rule of integration:

.

.

Check:

Graph the function .

Observe the graph, the definite integral value is 2.332 sq-units.

Solution:

sq-units.