Question: Please show all the work 14-20 and extra credit Using the Fundamental Theorem of Calculus, find the area of the regions bounded by 14. y=2

Please show all the work 14-20 and extra credit

Using the Fundamental Theorem of Calculus, find the area of the regions bounded by 14. y=2 \\xx, y=0 15. y=8-x, x=0, x 6, y=0 16. y = 5x - x and the x-axis 17. Given F(x) = 3 di find F'(x) and F'(3) . 5 13 - 2 18. Find [ 2x'(2x* -1) dx 19. Find sin (x) dx . 20. Find S2x (5x -3)dx 7/cos(x) EXTRA CREDIT Use the properties of sigma notation and the summation formulas to evaluate the sum [( 317 - 41+7). i-l Let s(n) = Find the limit of s(n) as n -> co

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