Question

Hi, Could anyone help me with integral problem?Evaluate the following integrals by interpreting them in terms of areas: integral (up6 down 2) g(x)=? integral (up7 down 0) g(x) =? https://webwork3.math.ucsb.edu/webwork2_course_files/Math3B-01-W13-Thoren/tmp/gif/HW_1_W13-prob15-prob5_2_34.gif

Answer 1

\(\int_2^6g(x)dx\) corresponds to the area between the curve and x-axis over \([2,6]\)... note this corresponds to a semicircle. How do you compute the area of a semicircle? (Remember: \(A=2\pi r\) for full circles, and this portion is under the x-axis so it's integral will be negative!)

Answer 2

negative, exactly! i put my answer in positive and it was wrong. now my answer is correct!! thank you very much!!!!!