4. - [0.5/1 Points] DETAILS PREVIOUS ANSWERS LARCALC11 4.3.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) = 25 -x2 4 X 25 - x2 dx 30 25 20 15 10 -6 -4 -2 2 4 63. [-/1 Points] DETAILS LARCALC11 4.3.011. Write the limit as a definite integral on the interval [a, b], where c, is any point in the ith subinterval. Limit Interval lim [-8, 6] 1141I - 0 E (7c; + 17) Ax , i = 1 dx J-8 Need Help? Read It Watch It11. [-/1 Points] DETAILS LARCALC11 4.3.060. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find possible values of a and b that make the statement true. (a, b) = Need Help? Read It7. [-/1 Points] DETAILS LARCALC11 4.3.031.MI. Sketch the region whose area is given by the definite integral. [ 2 V 4 - x 2 Ox 4 1.5 2 1.0 / 0.5 0-2 -1 1 2 O-2 -1 4 2.0/ 3 1.5 1.0\f12. [-/1 Points] DETAILS LARCALC11 4.3.075. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the constants a and b that maximize the value of 6 19 - x 2 ) ax . (a, b) = Explain your reasoning. The function fis (---Select--- @ between X = (smaller value) and x = (larger value). Need Help? Read It8. [-/1 Points] DETAILS LARCALC11 4.3.036. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the integral using the following values. x3 dx = 1,020, * dx = 30 , dx = 6 6 - 3x dx Need Help? Read It9. [-/1 Points] DETAILS LARCALC11 4.3.042.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Given ((x) dx = 6 and (x) dx = -3, evaluate the following, (2 ) 60 Rex ) ox ( b ) (F( x ) dx (d ) -5f (x ) dx w