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CALCULUS FOR ENGINEERS MATH 1110 : Instructor Dr. O. Philips Agboola pagboola@ksu.edu.sa Office: F054 Faculty of Engineering Mechanical Engineering Department

CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous

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Page 1: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous

CALCULUS FOR ENGINEERS MATH 1110

: InstructorDr. O. Philips [email protected]

Office: F054

Faculty of EngineeringMechanical Engineering Department

Page 2: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous

DOUBLE INTEGRALS

Page 3: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous
Page 4: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous

Example 1

Page 5: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous
Page 6: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous
Page 7: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous

Example 2

Page 8: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous
Page 9: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous
Page 10: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous

Example 3

Page 11: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous
Page 12: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous

Example 4

Page 13: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous
Page 14: CALCULUS FOR ENGINEERS MATH 1110(ii) Region of Type Il (i) (ii) Let R be a region of Type I that lies between the graphs of y = gl(x) and y = g2(x), where gl and gz are continuous

Example 5


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