Area of a Region In Exercises 45-50, use the integration table in Appendix C to find the exact area of the region bounded by the graphs of the equations. Use a graphing utility to verify your results.
To calculate: The exact area of region bounded by the graphs of equations
Given Information:
The provided equations are
Formula used:
The formula for the integral
General power differentiation Rule:
Calculation:
Consider
Differentiate the considered function with respect to x using power rule of differentiation.
Consider the provided expression:
To find the exact area of region bounded by the graphs of equations
Rewrite.
Here,
Substitute
Use the above formula of integration and solve the above integral as;
Substitute
Further solve
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