Definite integrals to find the area between two curves – Hard (AS Level)
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Question 1 of 25
1. Question
Find the area between the lines: y=x^3+4x^2-x-4y=x^2-1 Intersecting at (-1,0),(1,0) and (-3,8)
CorrectIncorrect -
Question 2 of 25
2. Question
Find the area between the lines: y=x^3+7x^2+7x-15y=x^2+2x-3 Intersecting at (1,0),(-3,0) and (-4,5)
CorrectIncorrect -
Question 3 of 25
3. Question
Find the area between the lines: y=-x^3-12x^2-39x-28y=2x^2+22x+56 Intersecting at (-3,8),(-4,0) and (-7,0)
CorrectIncorrect -
Question 4 of 25
4. Question
Find the area between the lines: y=-x^3-6x^2-11x-6y=x^2+x-6 Intersecting at (0,-6),(-3,0) and (-4,6)
CorrectIncorrect -
Question 5 of 25
5. Question
Find the area between the lines: y=-x^3+7x^2-7x-15y=x^2-2x-3 Intersecting at (4,5),(3,0) and (-1,0)
CorrectIncorrect -
Question 6 of 25
6. Question
Find the area between the lines: y=-x^3-11x^2-31x-21y=x^2+8x+7 Intersecting at (-4,-9),(-1,0) and (-7,0)
CorrectIncorrect -
Question 7 of 25
7. Question
Find the area between the lines: y=-x^3+19x^2-114x+216y=x^2-10x+24 Intersecting at (6,0), (8,8) and (4,0)
CorrectIncorrect -
Question 8 of 25
8. Question
Find the area between the lines: y=x^3+14x^2+64x+96y=x^2+10x+24 Intersecting at (-3,3),(-4,0) and (-6,0)
CorrectIncorrect -
Question 9 of 25
9. Question
Find the area between the lines: y=-x^3-10x^2-33x-36y=x^2+5x+4 Intersecting at (-2,-2),(-4,0) and (-5,4)
CorrectIncorrect -
Question 10 of 25
10. Question
Find the area between the lines: y=-x^3-13x^2-50x-56y=x^2+11x+28 Intersecting at (-3,4),(-4,0) and (-7,0)
CorrectIncorrect -
Question 11 of 25
11. Question
Find the area between the lines: y=-x^3-19x^2-114x-216y=x^2+13x+36 Intersecting at (-4,0), (-7,-6) and (-9,0)
CorrectIncorrect -
Question 12 of 25
12. Question
Find the area between the lines: y=-x^3-13x^2-56x-80y=x^2+7x+10 Intersecting at (-3,-2),(-5,0) and (-6,4)
CorrectIncorrect -
Question 13 of 25
13. Question
Find the area between the lines: y=x^3+7x^2+7x-15y=x^2+4x-5 Intersecting at (-2,-9),(1,0) and (-5,0)
CorrectIncorrect -
Question 14 of 25
14. Question
Find the area between the lines: y=-x^3-18x^2-107x-210y=x^2+11x+30 Intersecting at (-5,0),(-6,0) and (-8,6)
CorrectIncorrect -
Question 15 of 25
15. Question
Find the area between the lines: y=-x^3+4x^2-x-6y=2x^2-4x-6 Intersecting at (3,0),(0,-6) and (-1,0)
CorrectIncorrect -
Question 16 of 25
16. Question
Find the area between the lines: y=x^3+x^2-9x-9y=x^2-2x-3 Intersecting at (3,0),(-1,0) and (-2,5)
CorrectIncorrect -
Question 17 of 25
17. Question
Find the area between the lines: y=x^3-2x^2-5x+6y=2x^2-8x+6 Intersecting at (3,0),(1,0) and (0,6)
CorrectIncorrect -
Question 18 of 25
18. Question
Find the area between the lines: y=-x^3-5x^2+x+5y=x^2+4x-5 Intersecting at (-2,-9),(1,0) and (-5,0)
CorrectIncorrect -
Question 19 of 25
19. Question
Find the area between the lines: y=-x^3+2x^2+5x-6y=x^2-x-6 Intersecting at (3,0),(0,-6) and (-2,0)
CorrectIncorrect -
Question 20 of 25
20. Question
Find the area between the lines: y=-x^3+7x^2-14x+8y=x^2-6x+8 Intersecting at (2,0),(4,0) and (0,8)
CorrectIncorrect -
Question 21 of 25
21. Question
Find the area between the lines: y=-x^3-x^2+9x+9y=x^2-9 Intersecting at (3,0),(-2,-5) and (-3,0)
CorrectIncorrect -
Question 22 of 25
22. Question
Find the area between the lines: y=x^3+4x^2-4x-16y=x^2+2x-8 Intersecting at (-1,-9),(2,0) and (-4,0)
CorrectIncorrect -
Question 23 of 25
23. Question
Find the area between the lines: y=-x^3+4x^2-x-6y=2x^2-4x-6 Intersecting at (3,0),(0,-6) and (-1,0)
CorrectIncorrect -
Question 24 of 25
24. Question
Find the area between the lines: y=-x^3+17x^2-87x+135y=x^2-12x+27 Intersecting at (9,0),(4,-5) and (3,0)
CorrectIncorrect -
Question 25 of 25
25. Question
Find the area between the lines: y=-x^3+15x^2-71x+105y=x^2-10x+21 Intersecting at (7,0),(4,-3) and (3,0)
CorrectIncorrect
