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- 1. Multiple Choice
cos x + Ctan x + C-cos x + C-tan x + C - 2. Multiple Choice47/321⅓60/316⅓
- 3. Multiple Choice-11∫(x²-x-1) dx=⅔0-2-4/3
- 4. Multiple ChoiceFind the area under the curve y =3x2-2x from x= 1 to x =5.10099150152
- 5. Multiple Choice
Evaluate in terms of area
∫60 f(x) dx
2π
-2π
4 + 2π
-4 - 2π
- 6. Multiple ChoiceEvaluate in terms of area
∫014 f(x) dx4 + 10π8π4 + 6π-4 + 6π - 7. Multiple Choice
Evaluate in terms of area
∫02 f(x) dx
4
-4
4 + 2π
-4 - 2π
- 8. Multiple ChoiceIf ∫010 f(x) dx = 12 and ∫07 f(x) dx = 5, find ∫710 f(x) dx177-17-7
- 9. Multiple ChoiceLet f be an even function, g be an odd function and h(x) = f(x) - g(x)
∫010 f(x) dx = 12
∫07 f(x) dx = 5
∫07 g(x) dx = 8
Find ∫-710 f(x) dx1712024 - 10. Multiple ChoiceLet f be an even function, g be an odd function and h(x) = f(x) - g(x)
∫010 f(x) dx = 12
∫07 f(x) dx = 5
∫07 g(x) dx = 8
Find ∫100 f(x) dx1224-12-24 - 11. Multiple Choice-4x6-5x2+C-24x6-10x2+C-4x5-5x+C-4x6-10+C
- 12. Multiple ChoiceFind the area under the curve y = cos from x = 0 to x = π/21-11/2-1/2
- 13. Multiple Choice
Find the derivative of the function ∫-3x 11√(6t - t5) dt
11t√(6t - t5)
11(6+5t4)√(6t - t5)
11√(6x - x5)
√(6t - t5)
- 14. Multiple ChoiceFind x if ∫0x 2t dt = 14√14√2147
- 15. Multiple ChoiceLet f be a twice differentiable function such that f(0) = 11, f'(0) = -9, f(6) = -3, f'(6) = 13, and f'' is continuous everywhere. Evaluate ∫06 f''(x) dx4-141422
- 16. Multiple ChoiceLet f be an even function, g be an odd function and h(x) = f(x) - g(x)
∫010 f(x) dx = 12
∫07 f(x) dx = 5
∫07 g(x) dx = 8
Find ∫-1010 f(x) dx1712024 - 17. Multiple ChoiceLet f be an even function, g be an odd function and h(x) = f(x) - g(x)
∫010 f(x) dx = 12
∫07 f(x) dx = 5
∫07 g(x) dx = 8
Find ∫07 h(x) dx3-313-13 - 18. Multiple ChoiceLet f be an even function, g be an odd function and h(x) = f(x) - g(x)
∫010 f(x) dx = 12
∫07 f(x) dx = 5
∫07 g(x) dx = 8
Find ∫-1010 h(x) dx0824-3 - 19. Multiple Choice
Using 5 subintervals, calculate the distance traveled using a right sum.
360
420
396
390
- 20. Multiple ChoiceUsing 5 subintervals, calculate the distance traveled using a left sum.360420396390
- 21. Multiple Choice
The Riemann sum on the closed interval [0, π] is an approximation for which of the following definite integrals?
∫0π sin(x) dx
∫010 sin(x) dx
∫010 sin(πx) dx
∫0π sin(πx/10) dx
∫0π (π/10) sin(πx/10) dx
- 22. Multiple Choice
Let g(x) = ∫0x f(t) dt. Which of the following statements are true?
g is increasing on (4, 10)
g is increasing on (6, 14)
g is decreasing on (10, 14)
g is concave up on (2, 6)
- 23. Multiple Choice
Find dy/dx if y = ∫56x (4 - 2t) dt
24 - 72x
4 - 12x
4 - 2x
-72x
- 24. Multiple Choice
Find dy/dx if y = ∫xπ sec2t dt
tan x
-tan x
sec2x
-sec2x
- 25. Multiple Choice
Evaluate ∫13 ((6/x2) - 1) dx
-2
-6
2
6
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